the lions field
DESCRIPTION
TRANSCRIPT
![Page 1: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/1.jpg)
The Lion’s Field
Ajani's Notebook:
![Page 2: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/2.jpg)
Ajani only knew a few pieces of information which he had to use to solve how far he needed to walk to reach Eagle Rock. He could only go west or east because crossing the field would be too dangerous for the lamb. He also needed to know how fast he had to travel to reach Eagle Rock in two days time.
To organize what he knew Ajani made a list with a corresponding drawing:
![Page 3: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/3.jpg)
The approximate placement of Eagle Rock was NE of his village
Ajani’s List: The Eastern PathAjani’s List: The Eastern Path
![Page 4: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/4.jpg)
The approximate placement of Eagle Rock was NE of his village
Eagle Rock
Ajani’s List: The Eastern PathAjani’s List: The Eastern Path
![Page 5: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/5.jpg)
The approximate placement of Eagle Rock was NE of his village
To take the eastern route he needed to travel east 9km
Ajani’s List: The Eastern PathAjani’s List: The Eastern Path
Eagle Rock
![Page 6: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/6.jpg)
The approximate placement of Eagle Rock was NE of his village
To take the eastern route he needed to travel east 9km
Ajani’s List: The Eastern PathAjani’s List: The Eastern Path
Eagle Rock
9km
![Page 7: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/7.jpg)
The approximate placement of Eagle Rock was NE of his village
To take the eastern route he needed to travel east 9km
Turn 70° N of E
Ajani’s List: The Eastern PathAjani’s List: The Eastern Path
Eagle Rock
9km
![Page 8: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/8.jpg)
The approximate placement of Eagle Rock was NE of his village
To take the eastern route he needed to travel east 9km
Turn 70° N of E
Ajani’s List: The Eastern PathAjani’s List: The Eastern Path
70°
9km
Eagle Rock
![Page 9: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/9.jpg)
The approximate placement of Eagle Rock was NE of his village
To take the eastern route he needed to travel east 9km
Turn 70° N of E
To reach Eagle Rock travel West
70°
9km
Ajani’s List: The Eastern Ajani’s List: The Eastern PathPath
Eagle Rock
![Page 10: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/10.jpg)
The approximate placement of Eagle Rock was NE of his village
To take the eastern route he needed to travel east 9km
Turn 70° N of E
To reach Eagle Rock travel West
70°
9km
Ajani’s List: The Eastern Ajani’s List: The Eastern PathPath
Eagle Rock
![Page 11: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/11.jpg)
70°
9km
Ajani’s List: Other KnownsAjani’s List: Other Knowns
Eagle Rock
To cross the field diagonally NE and intersect the 70° N of E path it was a 20km journey
![Page 12: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/12.jpg)
70°
9km
20km
Ajani’s List: Other KnownsAjani’s List: Other Knowns
Eagle Rock
To cross the field diagonally NE and intersect the 70° N of E path it was a 20km journey
![Page 13: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/13.jpg)
Step 1: Label the diagram
70°
9km
20km
Eagle Rock
Solving the TriangleSolving the Triangle
![Page 14: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/14.jpg)
Step 1: Label the diagram
70°
9km
20km
Eagle Rock
Solving the TriangleSolving the Triangle
a
b
c
AB
C
![Page 15: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/15.jpg)
Step 1: Label the diagram
Step 2: Solve for Angle A
70°
9km
20km
Eagle Rock
Solving the TriangleSolving the Triangle
a
b
c
AB
C
![Page 16: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/16.jpg)
Something to Think About;Something to Think About;
The total degree measurement of a straight line is 180°
![Page 17: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/17.jpg)
Something to Think About;Something to Think About;
180°
The total degree measurement of a straight line is 180°
![Page 18: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/18.jpg)
Step 1: Label the diagram
Step 2: Solve for Angle A
Since a straight line is equal to 180 °
70°
9km
20km
Eagle Rock
Solving the TriangleSolving the Triangle
a
b
c
AB
C
![Page 19: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/19.jpg)
Step 1: Label the diagram
Step 2: Solve for Angle A
Since a straight line is equal to 180 °
Angle A = 180 ° - 70 ° Angle A = 110 °
70°
9km
20km
Eagle Rock
Solving the TriangleSolving the Triangle
a
b
c
AB
C
![Page 20: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/20.jpg)
Step 1: Label the diagram
Step 2: Solve for Angle A
Since a straight line is equal to 180 °
Angle A = 180 ° - 70 ° Angle A = 110 °
70°
9km
20km
Eagle Rock
Solving the TriangleSolving the Triangle
a
b
c
AB
C
110 °
![Page 21: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/21.jpg)
There are two equations that may be used to solve for non-right angle triangles:
Something to Think About;Something to Think About;
![Page 22: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/22.jpg)
There are two equations that may be used to solve for non-right angle triangles:
Something to Think About;Something to Think About;
The Sine Law Equation:
•Takes the Sine of an angle and divides it by the corresponding angles side
•Is used when three pieces of information is known
•Is not compatible with Side-Angle-Side or Side-Side-Side triangles
![Page 23: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/23.jpg)
There are two equations that may be used to solve for non-right angle triangles:
Something to Think About;Something to Think About;
•Is with Side-Angle-Side or Side-Side-Side triangles
•Isn’t recommended because tedious work
The Cosine Law Equation:
![Page 24: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/24.jpg)
Step 1: Label the diagram
Step 2: Solve for Angle A
Step 3: Solve for Angle C
70°
9km
20km
Eagle Rock
Solving the TriangleSolving the Triangle
a
b
c
AB
C
110 °
![Page 25: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/25.jpg)
Step 3: Solve for Angle C
Side c is known therefore Angle C can be solved for with the Sine Equation
70°
9km
20km
Eagle Rock
Solving the TriangleSolving the Triangle
a
b
c
AB
C
110 °
![Page 26: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/26.jpg)
Step 3: Solve for Angle C
Side c is known therefore Angle C can be solved for with the Sine Equation
70°
9km
20km
Eagle Rock
Solving the TriangleSolving the Triangle
a
b
c
AB
C
110 °
![Page 27: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/27.jpg)
Step 3: Solve for Angle C
Side c is known therefore Angle C can be solved for with the Sine Equation
70°
9km
20km
Eagle Rock
Solving the TriangleSolving the Triangle
a
b
c
AB
C
110 °
To solve for angle C cross multiply:
![Page 28: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/28.jpg)
Step 3: Solve for Angle C
Side c is known therefore Angle C can be solved for with the Sine Equation
70°
9km
20km
Eagle Rock
Solving the TriangleSolving the Triangle
a
b
c
AB
C
110 °
To solve for angle C cross multiply:
![Page 29: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/29.jpg)
Step 3: Solve for Angle C
Side c is known therefore Angle C can be solved for with the Sine Equation
70°
9km
20km
Eagle Rock
Solving the TriangleSolving the Triangle
a
b
c
AB
C
110 °
To solve for angle C cross multiply:
And divide by 20 to isolate Sin C:
![Page 30: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/30.jpg)
Step 3: Solve for Angle C
Side c is known therefore Angle C can be solved for with the Sine Equation
70°
9km
20km
Eagle Rock
Solving the TriangleSolving the Triangle
a
b
c
AB
C
110 °
To solve for angle C cross multiply:
And divide by 20 to isolate Sin C:
![Page 31: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/31.jpg)
Step 3: Solve for Angle C
Side c is known therefore Angle C can be solved for with the Sine Equation
70°
9km
20km
Eagle Rock
Solving the TriangleSolving the Triangle
a
b
c
AB
C
110 °
To solve for angle C cross multiply:
And divide by 20 to isolate Sin C:
Solve and take the inverse Sin to calculate the angle.
![Page 32: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/32.jpg)
Step 3: Solve for Angle C
Side c is known therefore Angle C can be solved for with the Sine Equation
70°
9km
20km
Eagle Rock
Solving the TriangleSolving the Triangle
a
b
c
AB
C
110 °
To solve for angle C cross multiply:
And divide by 20 to isolate Sin C:
Solve and take the inverse Sin to calculate the angle.
25.02°
![Page 33: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/33.jpg)
Step 1: Label the diagram
Step 2: Solve for Angle A
Step 3: Solve for Angle C
Step 4: Solve for Angle B
70°
9km
20km
Eagle Rock
Solving the TriangleSolving the Triangle
a
b
c
AB
C
110 °
25.02°
![Page 34: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/34.jpg)
The sum of all three angles in a triangle is equal to 180°
Something to Think About;Something to Think About;
A
B C
Therefore: A+B+C=180°
![Page 35: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/35.jpg)
Step 4: Solve for Angle B
Angle B can be solved for by subtracting Angles A and C from 180°
70°
9km
20km
Eagle Rock
Solving the TriangleSolving the Triangle
a
b
c
AB
C
110 °
25.02°
![Page 36: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/36.jpg)
Step 4: Solve for Angle B
Angle B can be solved for by subtracting Angles A and C from 180°
Angle B = 180° - (110° + 25.02°) = 44.98°
70°
9km
20km
Eagle Rock
Solving the TriangleSolving the Triangle
a
b
c
AB
C
110 °
25.02°
44.98°
![Page 37: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/37.jpg)
Step 1: Label the diagram
Step 2: Solve for Angle A
Step 3: Solve for Angle C
Step 4: Solve for Angle B
Step 5: Solve for Side b
70°
9km
20km
Eagle Rock
Solving the TriangleSolving the Triangle
a
b
c
AB
C
110 °
25.02°
44.98°
![Page 38: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/38.jpg)
Step 5: Solve for Side b
Now that angle B is known side b can be calculated using the Sine Equation.
70°
9km
20km
Eagle Rock
Solving the TriangleSolving the Triangle
a
b
c
AB
C
110 °
25.02°
44.98°
![Page 39: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/39.jpg)
Step 5: Solve for Side b
Now that angle B is known side b can be calculated using the Sine Equation.
70°
9km
20km
Eagle Rock
Solving the TriangleSolving the Triangle
a
b
c
AB
C
110 °
25.02°
44.98°
![Page 40: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/40.jpg)
It is always best to use information originally given in a question to solve for
other unknowns
Something to Think About;Something to Think About;
•There has not been previous rounding
•More accuracy
![Page 41: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/41.jpg)
Step 5: Solve for Side b
Now that angle B is known side b can be calculated using the Sine Equation.
70°
9km
20km
Eagle Rock
Solving the TriangleSolving the Triangle
a
b
c
AB
C
110 °
25.02°
44.98°
![Page 42: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/42.jpg)
Step 5: Solve for Side b
Now that angle B is known side b can be calculated using the Sine Equation.
70°
9km
20km
Eagle Rock
Solving the TriangleSolving the Triangle
a
b
c
AB
C
110 °
25.02°
44.98°
![Page 43: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/43.jpg)
Step 5: Solve for Side b
Now that angle B is known side b can be calculated using the Sine Equation.
70°
9km
20km
Eagle Rock
Solving the TriangleSolving the Triangle
a
b
c
AB
C
110 °
25.02°
Cross multiple and divide to isolate b:
44.98°
![Page 44: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/44.jpg)
Step 5: Solve for Side b
Now that angle B is known side b can be calculated using the Sine Equation.
70°
9km
20km
Eagle Rock
Solving the TriangleSolving the Triangle
a
b
c
AB
C
110 °
25.02°
Cross multiple and divide to isolate b:
44.98°
![Page 45: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/45.jpg)
Step 5: Solve for Side b
Now that angle B is known side b can be calculated using the Sine Equation.
70°
9km
20km
Eagle Rock
Solving the TriangleSolving the Triangle
a
b
c
AB
C
110 °
25.02°
Cross multiple and divide to isolate b:
15.04 km
44.98°
![Page 46: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/46.jpg)
Ajani’s List: Other KnownsAjani’s List: Other Knowns•Eagle Rock is 72° N of E from the village
70°
9km
20km
Eagle Rock
a
b
c
AB
C
110 °
25.02°
15.04 km
44.98°
![Page 47: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/47.jpg)
Ajani’s List: Other KnownsAjani’s List: Other Knowns•Eagle Rock is 72° N of E from the village
70°
9km
20km
Eagle Rock
a
b
c
AB
C
110 °
25.02°
15.04 km
72°
44.98°
![Page 48: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/48.jpg)
70°
9km
20km
Eagle Rock
a
b
c
AB
C
110 °
25.02°
15.04 km
72°
44.98°
Step 1: Label the diagram
Step 2: Solve for Angle A
Step 3: Solve for Angle C
Step 4: Solve for Angle B
Step 5: Solve for Side b
Step 6: Re-label new triangle
Solving the TriangleSolving the Triangle
![Page 49: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/49.jpg)
70°
9km
20km
Eagle Rock
a
b
c
AB
C
110 °
25.02°
15.04 km
72°
44.98°
Step 6: Re-label new triangle
Since both triangles share:
•A Common Side : a
•Common Angles: C and B
Solving the TriangleSolving the Triangle
![Page 50: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/50.jpg)
70°
9km
20km
Eagle Rock
a
b
c
AB
C
110 °
25.02°
15.04 km
72°
44.98°
Step 6: Re-label new triangle
Since both triangles share:
•A Common Side : a
•Common Angles: C and B
The rest of the triangle can be labeled based on these three pieces of information.
Solving the TriangleSolving the Triangle
![Page 51: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/51.jpg)
70°
9km
20km
Eagle Rock
a
b
c
A
B
C
110 °
25.02°
15.04 km
72°
44.98°
Step 6: Re-label new triangle
Since both triangles share:
•A Common Side : a
•Common Angles: C and B
The rest of the triangle can be labeled based on these three pieces of information.
Solving the TriangleSolving the Triangle
![Page 52: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/52.jpg)
70°
9km
20km
Eagle Rock
a
b
c
A
B
C
110 °
25.02°
15.04 km
72°
44.98°
Step 1: Label the diagram
Step 2: Solve for Angle A
Step 3: Solve for Angle C
Step 4: Solve for Angle B
Step 5: Solve for Side b
Step 6: Re-label new triangle
Step 7: Solve for Angle B
Solving the TriangleSolving the Triangle
![Page 53: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/53.jpg)
Step 7: Solve for Angle B
Solving the TriangleSolving the Triangle
70°
9km
20km
Eagle Rock
a
b
c
A
B
C
110 °
25.02°
15.04 km
72°
44.98°
![Page 54: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/54.jpg)
70°
9km
20km
Eagle Rock
a
b
c
A
B
C
110 °
25.02°
15.04 km
72°
44.98°
Step 7: Solve for Angle B
Both the 72° and 44.98 ° angles begin on the same axis then:
Solving the TriangleSolving the Triangle
![Page 55: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/55.jpg)
70°
9km
20km
Eagle Rock
a
b
c
A
B
C
110 °
25.02°
15.04 km
72°
44.98°
Step 7: Solve for Angle B
Both the 72° and 44.98 ° angles begin on the same axis then:
Angle B= 72° - 44.98°
Solving the TriangleSolving the Triangle
![Page 56: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/56.jpg)
70°
9km
20km
Eagle Rock
a
b
c
A
B
C
110 °
25.02°
15.04 km
72°
44.98°
Step 7: Solve for Angle B
Both the 72° and 44.98 ° angles begin on the same axis then:
Angle B= 72° - 44.98°
Angle B= 27.02°
Solving the TriangleSolving the Triangle
27.02 °
![Page 57: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/57.jpg)
When a transversal line passes through two parallel lines corresponding angles are formed.
Something to Think About;Something to Think About;
![Page 58: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/58.jpg)
When a transversal line passes through two parallel lines corresponding angles are formed.
This means that the angles on alternate sides of the transversal are the same.
Something to Think About;Something to Think About;
![Page 59: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/59.jpg)
When a transversal line passes through two parallel lines corresponding angles are formed.
This means that the angles on alternate sides of the transversal are the same.
Something to Think About;Something to Think About;
![Page 60: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/60.jpg)
When a transversal line passes through two parallel lines corresponding angles are formed.
This means that the angles on alternate sides of the transversal are the same.
Something to Think About;Something to Think About;
![Page 61: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/61.jpg)
Step 1: Label the diagram
Step 2: Solve for Angle A
Step 3: Solve for Angle C
Step 4: Solve for Angle B
Step 5: Solve for Side b
Step 6: Re-label new triangle
Step 7: Solve for Angle B
Step 8: Solve for Angle C
Solving the TriangleSolving the Triangle
70°
9km
20km
Eagle Rock
a
b
c
A
B
C
72°
44.98°
27.02 °
15.04 km
![Page 62: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/62.jpg)
Step 8: Solve for Angle C
Side a is a transversal line
Solving the TriangleSolving the Triangle
70°
9km
20km
Eagle Rock
a
b
c
A
B
C
72°
44.98°
27.02 °
15.04 km
![Page 63: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/63.jpg)
Step 8: Solve for Angle C
Side a is a transversal line
Solving the TriangleSolving the Triangle
70°
9km
20km
Eagle Rock
a
b
c
A
B
C
72°
44.98°
27.02 °
15.04 km
![Page 64: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/64.jpg)
Step 8: Solve for Angle C
Side a is a transversal line
This means that Angle C is congruent to 44.98°
Solving the TriangleSolving the Triangle
70°
9km
20km
Eagle Rock
a
b
c
A
B
C
72°
44.98°
27.02 °
15.04 km
![Page 65: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/65.jpg)
Step 8: Solve for Angle C
Side a is a transversal line
This means that Angle C is congruent to 44.98° this is because it is on the alternate side of the transversal line to the original 44.98°.
Solving the TriangleSolving the Triangle
70°
9km
20km
Eagle Rock
a
b
c
A
B
C
72°
44.98°
27.02 °
15.04 km
44.98°
![Page 66: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/66.jpg)
Step 1: Label the diagram
Step 2: Solve for Angle A
Step 3: Solve for Angle C
Step 4: Solve for Angle B
Step 5: Solve for Side b
Step 6: Re-label new triangle
Step 7: Solve for Angle B
Step 8: Solve for Angle C
Step 9: Solve for Angle A
Solving the TriangleSolving the Triangle
70°
9km
20km
Eagle Rock
a
b
c
A
B
C
72°
44.98°
27.02 °
15.04 km
![Page 67: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/67.jpg)
Step 9: Solve for Angle A
Since two angles are known:
Solving the TriangleSolving the Triangle
70°
9km
20km
Eagle Rock
a
b
c
A
B
C
72°27.02 °
15.04 km
44.98°
![Page 68: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/68.jpg)
Step 9: Solve for Angle A
Since two angles are known:
Angle A = 180 ° - (44.98° + 27.02°)
Solving the TriangleSolving the Triangle
70°
9km
20km
Eagle Rock
a
b
c
A
B
C
72°27.02 °
15.04 km
44.98°
![Page 69: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/69.jpg)
Step 9: Solve for Angle A
Since two angles are known:
Angle A = 180 ° - (44.98° + 27.02°)
Angle A = 108°
Solving the TriangleSolving the Triangle
70°
9km
20km
Eagle Rock
a
b
c
A
B
C
72°27.02 °
15.04 km
44.98°108°
![Page 70: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/70.jpg)
Step 1: Label the diagram
Step 2: Solve for Angle A
Step 3: Solve for Angle C
Step 4: Solve for Angle B
Step 5: Solve for Side b
Step 6: Re-label new triangle
Step 7: Solve for Angle B
Step 8: Solve for Angle C
Step 9: Solve for Angle A
Step 10: Solve for Side b
Solving the TriangleSolving the Triangle
70°
9km
20km
Eagle Rock
a
b
c
A
B
C
72°27.02 °
15.04 km
108° 44.98°
![Page 71: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/71.jpg)
Step 10: Solve for Side b
The Sine equation can be used to solve side b:
Solving the TriangleSolving the Triangle
70°
9km
20km
Eagle Rock
a
b
c
A
B
C
72°27.02 °
15.04 km
108° 44.98°
![Page 72: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/72.jpg)
Step 10: Solve for Side b
The Sine equation can be used to solve side b:
Solving the TriangleSolving the Triangle
70°
9km
20km
Eagle Rock
a
b
c
A
B
C
72°27.02 °
15.04 km
108° 44.98°
![Page 73: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/73.jpg)
Step 10: Solve for Side b
The Sine equation can be used to solve side b:
Solving the TriangleSolving the Triangle
70°
9km
20km
Eagle Rock
a
b
c
A
B
C
72°27.02 °
15.04 km
108° 44.98°
![Page 74: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/74.jpg)
Step 10: Solve for Side b
The Sine equation can be used to solve side b:
Solving the TriangleSolving the Triangle
70°
9km
20km
Eagle Rock
a
b
c
A
B
C
72°27.02 °
15.04 km
108°
Cross multiply and divide to isolate b
44.98°
![Page 75: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/75.jpg)
Step 10: Solve for Side b
The Sine equation can be used to solve side b:
Solving the TriangleSolving the Triangle
70°
9km
20km
Eagle Rock
a
b
c
A
B
C
72°27.02 °
15.04 km
108°
Cross multiply and divide to isolate b
44.98°
![Page 76: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/76.jpg)
Step 10: Solve for Side b
The Sine equation can be used to solve side b:
Solving the TriangleSolving the Triangle
70°
9km
20km
Eagle Rock
a
b
c
A
B
C
72°27.02 °
15.04 km
108°
Cross multiply and divide to isolate b
44.98°
9.55km
![Page 77: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/77.jpg)
Step 1: Label the diagram
Step 2: Solve for Angle A
Step 3: Solve for Angle C
Step 4: Solve for Angle B
Step 5: Solve for Side b
Step 6: Re-label new triangle
Step 7: Solve for Angle B
Step 8: Solve for Angle C
Step 9: Solve for Angle A
Step 10: Solve for Side b
Step 11: Solve the Eastern Route
Solving the TriangleSolving the Triangle
70°
9km
20km
ac
A
B
C
72°27.02 °
15.04 km
108° 44.98°
Eagle Rockb 9.55km
![Page 78: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/78.jpg)
Step 11: Solve the Eastern Route
To Solve for the entire distance of the eastern route:
Solving the TriangleSolving the Triangle
70°
9km
20km
ac
A
B
C
72°27.02 °
15.04 km
108° 44.98°
Eagle Rockb 9.55km
![Page 79: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/79.jpg)
Step 11: Solve the Eastern Route
To Solve for the entire distance of the eastern route:
Eastern Route= 9km+15.04km+9.55km
Solving the TriangleSolving the Triangle
70°
9km
20km
ac
A
B
C
72°27.02 °
15.04 km
108° 44.98°
Eagle Rockb 9.55km
![Page 80: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/80.jpg)
Step 11: Solve the Eastern Route
To Solve for the entire distance of the eastern route:
Eastern Route= 9km+15.04km+9.55km
Eastern Route= 33.59km
Solving the TriangleSolving the Triangle
70°
9km
20km
ac
A
B
C
72°27.02 °
15.04 km
108° 44.98°
Eagle Rockb 9.55km
![Page 81: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/81.jpg)
•The path to the west was 50° N of W.
70°
20km
ac
A
B
C
72°27.02 °
108° 44.98°
Eagle Rockb
Ajani’s List: The Western Ajani’s List: The Western PathPath
![Page 82: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/82.jpg)
•The path to the west was 50° N of W.
70°
20km
ac
A
B
C
72°27.02 °
108° 44.98°
Eagle Rockb
Ajani’s List: The Western Ajani’s List: The Western PathPath
50°
![Page 83: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/83.jpg)
•The path to the west was 50° N of W.•Eagle Rock is directly East from the first path
20km
ac
A
B
C
72°27.02 °
108° 44.98°
Eagle Rockb
Ajani’s List: The Western Ajani’s List: The Western PathPath
50°
![Page 84: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/84.jpg)
Step 1: Solve Side c
20km
ac
A
B
C
72°27.02 °
108° 44.98°
Eagle Rockb
50°
Solving the TriangleSolving the Triangle
![Page 85: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/85.jpg)
Something to Think About;Something to Think About;
ac
A
B
Cb
When working with multiple triangles:
•the side of a previous triangle
![Page 86: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/86.jpg)
Something to Think About;Something to Think About;
ac
A
B
Cb
When working with multiple triangles:
•the side of a previous triangle
•Can be used as the side of another triangle
![Page 87: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/87.jpg)
Step 1: Solve Side c
20km
ac
A
B
C
72°27.02 °
108° 44.98°
Eagle Rockb
50°
Solving the TriangleSolving the Triangle
Side c can be solved using the Sine Formula and values from the previous triangle:
![Page 88: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/88.jpg)
Step 1: Solve Side c
20km
ac
A
B
C
72°27.02 °
108° 44.98°
Eagle Rockb
50°
Solving the TriangleSolving the Triangle
Side c can be solved using the Sine Formula and values from the previous triangle:
![Page 89: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/89.jpg)
Step 1: Solve Side c
20km
ac
A
B
C
72°27.02 °
108° 44.98°
Eagle Rockb
50°
Solving the TriangleSolving the Triangle
Side c can be solved using the Sine Formula and values from the previous triangle:
![Page 90: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/90.jpg)
Step 1: Solve Side c
20km
ac
A
B
C
72°27.02 °
108° 44.98°
Eagle Rockb
50°
Solving the TriangleSolving the Triangle
Side c can be solved using the Sine Formula and values from the previous triangle:
Cross multiply and divide to isolate c
![Page 91: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/91.jpg)
Step 1: Solve Side c
20km
ac
A
B
C
72°27.02 °
108° 44.98°
Eagle Rockb
50°
Solving the TriangleSolving the Triangle
Side c can be solved using the Sine Formula and values from the previous triangle:
Cross multiply and divide to isolate c
![Page 92: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/92.jpg)
Step 1: Solve Side c
20km
ac
A
B
C
72°27.02 °
108° 44.98°
Eagle Rockb
50°
Solving the TriangleSolving the Triangle
Side c can be solved using the Sine Formula and values from the previous triangle:
Cross multiply and divide to isolate c
![Page 93: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/93.jpg)
Step 1: Solve Side c
20kma
c
A
B
C
72°27.02 °
108° 44.98°
Eagle Rockb
50°
Solving the TriangleSolving the Triangle
Side c can be solved using the Sine Formula and values from the previous triangle:
Cross multiply and divide to isolate c
14.86km
c= 14.864729… = 14.86km
![Page 94: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/94.jpg)
Step 1: Solve Side cStep2: Solve Angle A
20km
c
A
B
72°27.02 °
108° 44.98°
Eagle Rock
50°
Solving the TriangleSolving the Triangle
14.86km
a
C b
![Page 95: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/95.jpg)
Step2: Solve Angle A
Angle A is on the same horizontal line as the Angle of 108°
20km
c
A
B
72°27.02 °
108° 44.98°
Eagle Rock
50°
Solving the TriangleSolving the Triangle
14.86km
a
C b
![Page 96: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/96.jpg)
Step2: Solve Angle A
Angle A is on the same horizontal line as the Angle of 108°
Therefore Angle A = 180 °-108 °
20km
c
A
B
72°27.02 °
108° 44.98°
Eagle Rock
50°
Solving the TriangleSolving the Triangle
14.86km
a
C b
![Page 97: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/97.jpg)
Step2: Solve Angle A
Angle A is on the same horizontal line as the Angle of 108°
Therefore Angle A = 180 °-108 °Angle A = 72°
20kma
c
A
B
C
72°27.02 °
108° 44.98°
Eagle Rockb
50°
Solving the TriangleSolving the Triangle
14.86km
72°
![Page 98: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/98.jpg)
Step 1: Solve Side cStep 2: Solve Angle AStep 3: Solve Angle B
20km
c
A
B
72°27.02 °
108° 44.98°
Eagle Rock
50°
Solving the TriangleSolving the Triangle
14.86km
a
C b
72°
![Page 99: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/99.jpg)
Step 3: Solve Angle B
Since the angles of 50° and 72° are both located on the x axis subtracting these from 180° will give the value of Angle B.
20km
c
A
B
72°
108° 44.98°
Eagle Rock
50°
Solving the TriangleSolving the Triangle
14.86km
a
C b
72°
![Page 100: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/100.jpg)
Step 3: Solve Angle B
Since the angles of 50° and 72° are both located on the x axis subtracting these from 180° will give the value of Angle B.
Angle B= 180° - (50°+72°)20km
c
A
B
72°
108° 44.98°
Eagle Rock
50°
Solving the TriangleSolving the Triangle
14.86km
a
C b
72°
![Page 101: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/101.jpg)
Step 3: Solve Angle B
Since the angles of 50° and 72° are both located on the x axis subtracting these from 180° will give the value of Angle B.
Angle B= 180° - (50°+72°)Angle B= 58° 20km
a
c
A
B
C
72°
108° 44.98°
Eagle Rockb
50°
Solving the TriangleSolving the Triangle
14.86km
58°
72°
![Page 102: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/102.jpg)
Step 1: Solve Side cStep 2: Solve Angle AStep 3: Solve Angle BStep 4: Solve Angle C
20kma
c
A
B
C
72°
108° 44.98°
Eagle Rockb
Solving the TriangleSolving the Triangle
14.86km
58°
72°
![Page 103: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/103.jpg)
Step 4: Solve Angle C
Since we know a triangle is equal to 180°
Angle C= 180° - (58°+72°)
20kma
c
A
B
C
72°
108° 44.98°
Eagle Rockb
Solving the TriangleSolving the Triangle
14.86km
72°
58°
![Page 104: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/104.jpg)
Step 4: Solve Angle C
Since we know a triangle is equal to 180°
Angle C= 180° - (58°+72°)Angle C= 50°
20kma
c
A
B
C
72°
108° 44.98°
Eagle Rockb
Solving the TriangleSolving the Triangle
14.86km
72°
58°
50°
![Page 105: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/105.jpg)
Step 4: Solve Angle C
Since we know a triangle is equal to 180°
Angle C= 180° - (58°+72°)Angle C= 50°
20kma
c
A
B
C
72°
108° 44.98°
Eagle Rockb
Solving the TriangleSolving the Triangle
14.86km
72°
58°
50°
**Note to check if your angles are correct:
Angle B plus 50° should equal 108° because it is on the alternate side of the transversal c.
50 ° + 58 ° = 108 °
108°
![Page 106: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/106.jpg)
Step 1: Solve Side cStep 2: Solve Angle AStep 3: Solve Angle BStep 4: Solve Angle CStep 5: Solve side a
20kma
c
A
B
C
72°
108° 44.98°
Eagle Rockb
Solving the TriangleSolving the Triangle
14.86km
58°
72°
![Page 107: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/107.jpg)
Step 5: Solve side a
20kma
c
A
B
C
72°
108° 44.98°
Eagle Rockb
Solving the TriangleSolving the Triangle
14.86km
58°
72°
![Page 108: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/108.jpg)
Step 5: Solve side a
20kma
c
A
B
C
72°
108° 44.98°
Eagle Rockb
Solving the TriangleSolving the Triangle
14.86km
58°
72°
![Page 109: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/109.jpg)
Step 5: Solve side a
20kma
c
A
B
C
72°
108° 44.98°
Eagle Rockb
Solving the TriangleSolving the Triangle
14.86km
58°
72°
Cross multiply and divide to isolate a
![Page 110: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/110.jpg)
Step 5: Solve side a
20kma
c
A
B
C
72°
108° 44.98°
Eagle Rockb
Solving the TriangleSolving the Triangle
14.86km
58°
72°
Cross multiply and divide to isolate a
![Page 111: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/111.jpg)
Step 5: Solve side a
20kma
c
A
B
C
72°
108° 44.98°
Eagle Rockb
Solving the TriangleSolving the Triangle
14.86km
58°
72°
Cross multiply and divide to isolate a
![Page 112: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/112.jpg)
Step 5: Solve side a
20kma
c
A
B
C
72°
108° 44.98°
Eagle Rockb
Solving the TriangleSolving the Triangle
14.86km
58°
72°
Cross multiply and divide to isolate a
a= 18.448929…
= 18.45km
18.45km
![Page 113: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/113.jpg)
Step 1: Solve Side cStep 2: Solve Angle AStep 3: Solve Angle BStep 4: Solve Angle CStep 5: Solve Side b
20kma
c
A
B
C
72°
108° 44.98°
Eagle Rockb
Solving the TriangleSolving the Triangle
14.86km
58°
72°
18.45km
![Page 114: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/114.jpg)
Step 5: Solve Side b
20kma
c
A
B
C
72°
108° 44.98°
Eagle Rockb
Solving the TriangleSolving the Triangle
14.86km
58°
72°
18.45km
![Page 115: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/115.jpg)
Step 5: Solve Side b
20kma
c
A
B
C
72°
108° 44.98°
Eagle Rockb
Solving the TriangleSolving the Triangle
14.86km
58°
72°
18.45km
![Page 116: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/116.jpg)
Step 5: Solve Side b
20kma
c
A
B
C
72°
108° 44.98°
Eagle Rockb
Solving the TriangleSolving the Triangle
14.86km
58°
72°
Cross multiply and divide to isolate b 18.45k
m
![Page 117: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/117.jpg)
Step 5: Solve Side b
20kma
c
A
B
C
72°
108° 44.98°
Eagle Rockb
Solving the TriangleSolving the Triangle
14.86km
58°
72°
Cross multiply and divide to isolate b 18.45k
m
![Page 118: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/118.jpg)
Step 5: Solve Side b
20kma
c
A
B
C
72°
108° 44.98°
Eagle Rockb
Solving the TriangleSolving the Triangle
14.86km
58°
72°
Cross multiply and divide to isolate b
b= 16.450735…
= 16.45km
16.45km
18.45km
![Page 119: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/119.jpg)
20kma
c
A
B
C
72°
108° 44.98°
Eagle Rockb
Solving for the Western Solving for the Western RouteRoute
14.86km
58°
72°
16.45km
18.45km
To solve for the Western Route from the village to Eagle Rock:
![Page 120: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/120.jpg)
20kma
c
A
B
C
72°
108° 44.98°
Eagle Rockb
Solving for the Western Solving for the Western RouteRoute
14.86km
58°
72°
16.45km
18.45km
To solve for the Western Route from the village to Eagle Rock:
Add the two paths:
Western Route= 18.45+16.45
![Page 121: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/121.jpg)
20kma
c
A
B
C
72°
108° 44.98°
Eagle Rockb
Solving for the Western Solving for the Western RouteRoute
14.86km
58°
72°
16.45km
18.45km
To solve for the Western Route from the village to Eagle Rock:
Add the two paths:
Western Route= 18.45+16.45
Western Route= 34.90
![Page 122: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/122.jpg)
20kma
c
A
B
C
72°
108° 44.98°
Eagle Rockb
Choosing the Shortest RouteChoosing the Shortest Route
14.86km
58°
72°
16.45km
18.45km 15.04 km
9.55km
![Page 123: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/123.jpg)
20kma
c
A
B
C
72°
108° 44.98°
Eagle Rockb
Choosing the Shortest RouteChoosing the Shortest Route
14.86km
58°
72°
16.45km
18.45km 15.04 km
9.55kmRoute One = 9km + 15.04km + 9.55km
= 33.59km
![Page 124: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/124.jpg)
20kma
c
A
B
C
72°
108° 44.98°
Eagle Rockb
Choosing the Shortest RouteChoosing the Shortest Route
14.86km
58°
72°
16.45km
18.45km 15.04 km
9.55kmRoute One = 9km + 15.04km + 9.55km
= 33.59km
Route Two= 18.45km + 16.45km
= 34.90km
![Page 125: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/125.jpg)
20kma
c
A
B
C
72°
108° 44.98°
Eagle Rockb
Choosing the Shortest RouteChoosing the Shortest Route
14.86km
58°
72°
16.45km
18.45km 15.04 km
9.55kmRoute One = 9km + 15.04km + 9.55km
= 33.59km
Route Two= 18.45km + 16.45km
= 34.90km
According to Ajani’s calculations route one would be the shortest path to Eagle Rock.
![Page 126: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/126.jpg)
SpeedSpeedAjani needs to know if he walks at a speed of 1.5km per hour and is planning to spend only 12 hours of each day of the two days he has walking to complete the journey how long will it take to travel the 33.59 km?
![Page 127: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/127.jpg)
SpeedSpeedAjani needs to know if he walks at a speed of 1.5km per hour and is planning to spend only 12 hours of each day of the two days he has to complete the journey how long will it take to travel the 33.59 km?Step one: set up a ratio to use to calculate the speed
Since Ajani is going to be walking for 12 hours each day for two days you need to know how far he will be able to walk in 24 hours.
Cross multiply and divide to isolate the value of the km.
Km= 36km
Since Ajani only has to travel 33.59km he will be able to walk at a normal pace since he will be able to cover 36km in 24 hours.
![Page 128: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/128.jpg)
SpeedSpeedAjani needs to know if he walks at a speed of 1.5km per hour and is planning to spend only 12 hours of each day of the two days he has to complete the journey how long will it take to travel the 33.59 km?
Step one: set up a ratio to use to calculate the speed
![Page 129: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/129.jpg)
SpeedSpeedAjani needs to know if he walks at a speed of 1.5km per hour and is planning to spend only 12 hours of each day of the two days he has to complete the journey how long will it take to travel the 33.59 km?Step one: set up a ratio to use to calculate the speed
Since Ajani is going to be walking for 12 hours each day for two days you need to know how far he will be able to walk in 24 hours.
![Page 130: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/130.jpg)
SpeedSpeedAjani needs to know if he walks at a speed of 1.5km per hour and is planning to spend only 12 hours of each day of the two days he has to complete the journey how long will it take to travel the 33.59 km?Step one: set up a ratio to use to calculate the speed
Since Ajani is going to be walking for 12 hours each day for two days you need to know how far he will be able to walk in 24 hours.
Cross multiply and divide to isolate the value of the km.
Km= 36km
![Page 131: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/131.jpg)
SpeedSpeedAjani needs to know if he walks at a speed of 1.5km per hour and is planning to spend only 12 hours of each day of the two days he has to complete the journey how long will it take to travel the 33.59 km?Step one: set up a ratio to use to calculate the speed
Since Ajani is going to be walking for 12 hours each day for two days you need to know how far he will be able to walk in 24 hours.
Cross multiply and divide to isolate the value of the km.
Km= 36km
![Page 132: The Lions Field](https://reader035.vdocuments.net/reader035/viewer/2022062614/546318f9af7959a3048b46e7/html5/thumbnails/132.jpg)
SpeedSpeedAjani needs to know if he walks at a speed of 1.5km per hour and is planning to spend only 12 hours of each day of the two days he has to complete the journey how long will it take to travel the 33.59 km?Step one: set up a ratio to use to calculate the speed
Since Ajani is going to be walking for 12 hours each day for two days you need to know how far he will be able to walk in 24 hours.
Cross multiply and divide to isolate the value of the km.
Km= 36km
Since Ajani only has to travel 33.59km he will be able to walk at a normal pace since he will be able to cover 36km in 24 hours.