100 200 300 400 7.1b7.27.37.4 trigonometry 7.1 500 600 100 200 300 400 500 600 100 200 300 400 500...

73
100 200 300 400 7.1b 7.2 7.3 7.4 Trigonometry 7.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 Credits 7. 5 100 200 300 400 500 600

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Page 1: 100 200 300 400 7.1b7.27.37.4 Trigonometry 7.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600

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Trigonometry7.1

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Credits

7.5

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Page 2: 100 200 300 400 7.1b7.27.37.4 Trigonometry 7.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600

7.1- 1007.1- 100

Answer

Solve for x:

3

3

x45

45

Page 3: 100 200 300 400 7.1b7.27.37.4 Trigonometry 7.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600

7.1 - 2007.1 - 200

Answer

Solve for x:

5

5

x45

45

Page 4: 100 200 300 400 7.1b7.27.37.4 Trigonometry 7.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600

7.1- 3007.1- 300

Answer

Solve for x and y:

x

y

845

45

2

Page 5: 100 200 300 400 7.1b7.27.37.4 Trigonometry 7.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600

7.1- 4007.1- 400

Answer

Solve for x and y:

x

y

745

45

Page 6: 100 200 300 400 7.1b7.27.37.4 Trigonometry 7.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600

7.1 - 5007.1 - 500

Answer

Solve for x and y:

x

y

845

45

Page 7: 100 200 300 400 7.1b7.27.37.4 Trigonometry 7.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600

7.1- 6007.1- 600

Answer

Find the length of the diagonal of a square that has an area of 25in²

Page 8: 100 200 300 400 7.1b7.27.37.4 Trigonometry 7.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600

7.1- 100 Answer7.1- 100 Answer

Answer:

Solve for x:

3

3

x45

45

23

Page 9: 100 200 300 400 7.1b7.27.37.4 Trigonometry 7.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600

7.1- 200 Answer7.1- 200 Answer

Answer:

Solve for x:

5

5

x45

45

25

Page 10: 100 200 300 400 7.1b7.27.37.4 Trigonometry 7.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600

7.1- 300 Answer7.1- 300 Answer

Answer: x = 8, y = 8

Solve for x and y:

x

y

45

45

8 2

Page 11: 100 200 300 400 7.1b7.27.37.4 Trigonometry 7.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600

7.1- 400 Answer7.1- 400 Answer

Answer: x = y =

Solve for x and y:

x

y

745

45

2

27

Page 12: 100 200 300 400 7.1b7.27.37.4 Trigonometry 7.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600

7.1- 500 Answer7.1- 500 Answer

Answer: x = y =

Solve for x:

x

y

845

45

24

Page 13: 100 200 300 400 7.1b7.27.37.4 Trigonometry 7.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600

7.1- 600 Answer7.1- 600 Answer

Answer: in

Find the length of the diagonal of a square that has an area of 25in²

25

Page 14: 100 200 300 400 7.1b7.27.37.4 Trigonometry 7.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600

7.2 - 100

Answer

Solve for x and y:

30

60

y

2

x

Page 15: 100 200 300 400 7.1b7.27.37.4 Trigonometry 7.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600

7.2 - 200

Answer

Solve for x and y:

30

60

y

5

x

Page 16: 100 200 300 400 7.1b7.27.37.4 Trigonometry 7.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600

7.2- 300

Answer

Solve for x and y:

30

60

y

x

6

Page 17: 100 200 300 400 7.1b7.27.37.4 Trigonometry 7.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600

7.2 – 400 Daily Double

Answer

Solve for x and y:

30

60

y

x

36

Page 18: 100 200 300 400 7.1b7.27.37.4 Trigonometry 7.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600

7.2- 500

Answer

Solve for x and y:

30

60

x

y37

Page 19: 100 200 300 400 7.1b7.27.37.4 Trigonometry 7.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600

7.2- 600

Answer

Find the length of the altitude of an equilateral triangle with sides of 10 inches.

Page 20: 100 200 300 400 7.1b7.27.37.4 Trigonometry 7.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600

7.2 - 100 Answer

Answer: x = 4, y =2

Solve for x and y:

30

60

y

2

x

3

Page 21: 100 200 300 400 7.1b7.27.37.4 Trigonometry 7.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600

7.2 - 200 Answer

Answer: x = 10, y = 5

Solve for x and y:

30

60

y

5

x

3

Page 22: 100 200 300 400 7.1b7.27.37.4 Trigonometry 7.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600

7.2 - 300 Answer

Answer: x = 3, y =

Solve for x and y:

30

60

y

x

6

33

Page 23: 100 200 300 400 7.1b7.27.37.4 Trigonometry 7.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600

7.2 - 400 Answer Daily Double

Answer: x = 18, y =

Solve for x and y:

30

60

y

x

36

318

Page 24: 100 200 300 400 7.1b7.27.37.4 Trigonometry 7.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600

7.2 - 500 Answer

Answer: x = 7, y = 14

Solve for x and y:

30

60

x

y37

Page 25: 100 200 300 400 7.1b7.27.37.4 Trigonometry 7.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600

7.2 - 600 Answer

Answer:

Find the length of the altitude of an equilateral triangle with sides of 10 inches.

35

Page 26: 100 200 300 400 7.1b7.27.37.4 Trigonometry 7.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600

7.3 – 100

Answer

Find tanA

A

BC3

4 5

Page 27: 100 200 300 400 7.1b7.27.37.4 Trigonometry 7.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600

7.3 - 200

Answer

Find tanB

A

BC3

4 5

Page 28: 100 200 300 400 7.1b7.27.37.4 Trigonometry 7.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600

7.3 – 300

Answer

Solve for x:

x

12

40

Page 29: 100 200 300 400 7.1b7.27.37.4 Trigonometry 7.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600

7.3 - 400

Answer

Solve for x:

40

x

70

Page 30: 100 200 300 400 7.1b7.27.37.4 Trigonometry 7.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600

7.3 - 500

Answer

Solve for x:

40

x

10

Page 31: 100 200 300 400 7.1b7.27.37.4 Trigonometry 7.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600

7.3 - 600

Answer

Given a right triangle, if the side adjacent to a 23° angle is 10 inches, find the length of

the opposite side.

Page 32: 100 200 300 400 7.1b7.27.37.4 Trigonometry 7.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600

7.3 - 100 Answer

Answer: tanA = 3/4

Find tanA

A

BC3

4 5

Page 33: 100 200 300 400 7.1b7.27.37.4 Trigonometry 7.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600

7.3 - 200 Answer

Answer: tan B = 4/3

Find tanB

A

BC3

4 5

Page 34: 100 200 300 400 7.1b7.27.37.4 Trigonometry 7.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600

7.3 - 300 Answer

Answer: x = 10.07

Solve for x:

x

12

40

Page 35: 100 200 300 400 7.1b7.27.37.4 Trigonometry 7.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600

7.3 - 400 Answer

Answer: x = 14.56

Solve for x:

40

x

70

Page 36: 100 200 300 400 7.1b7.27.37.4 Trigonometry 7.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600

7.3 - 500 Answer

Answer: 14.04°

Solve for x:

40

x

10

Page 37: 100 200 300 400 7.1b7.27.37.4 Trigonometry 7.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600

7.3 - 600 Answer

Answer: 4.2 in

Given a right triangle, if the side adjacent to a 23° angle is 10 inches, find the length of

the opposite side.

Page 38: 100 200 300 400 7.1b7.27.37.4 Trigonometry 7.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600

7.4- 100

Answer

Find the sinAA

BC3

4 5

Page 39: 100 200 300 400 7.1b7.27.37.4 Trigonometry 7.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600

7.4 - 200

Answer

Find the cos BA

BC3

4 5

Page 40: 100 200 300 400 7.1b7.27.37.4 Trigonometry 7.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600

7. 4- 300

Answer

Solve for x:

59

x28

Page 41: 100 200 300 400 7.1b7.27.37.4 Trigonometry 7.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600

7.4 - 400

Answer

Solve for x:

72

x

40

Page 42: 100 200 300 400 7.1b7.27.37.4 Trigonometry 7.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600

7.4 - 500

Answer

Solve for x:

x

523

Page 43: 100 200 300 400 7.1b7.27.37.4 Trigonometry 7.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600

7.4 – 600 Daily Double

Answer

Jamie is flying a kite. She let out 40 ft of string and the kite is 28 ft off of the ground. What is the angle

of elevation?

Page 44: 100 200 300 400 7.1b7.27.37.4 Trigonometry 7.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600

7.4 - 100 Answer

Answer: 3/5

Find the sinAA

BC3

4 5

Page 45: 100 200 300 400 7.1b7.27.37.4 Trigonometry 7.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600

7.4 - 200 Answer

Answer: 3/5

Find the cosBA

BC3

4 5

Page 46: 100 200 300 400 7.1b7.27.37.4 Trigonometry 7.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600

7.4 - 300 Answer

Answer: x = 24

Solve for x:

59

x28

Page 47: 100 200 300 400 7.1b7.27.37.4 Trigonometry 7.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600

7.4 - 400 Answer

Answer: x = 12.36

Solve for x:

72

x

40

Page 48: 100 200 300 400 7.1b7.27.37.4 Trigonometry 7.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600

7.4 - 500 Answer

Answer: x = 12.6°

Solve for x:

x

523

Page 49: 100 200 300 400 7.1b7.27.37.4 Trigonometry 7.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600

7.4 - 600 Answer Daily Double

Answer: 44.4°

Jamie is flying a kite. She let out 40 ft of string and the kite is 28 ft off of the ground. What is the angle

of elevation?

Page 50: 100 200 300 400 7.1b7.27.37.4 Trigonometry 7.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600

7.5 - 100

Answer

A hot air balloon over Park City, UT is 760 feet above the ground.

The angle of depression from the balloon to an observer is 5.25°.

Assuming the ground is flat, how far is the observer from the point

on the ground directly under the balloon?

Page 51: 100 200 300 400 7.1b7.27.37.4 Trigonometry 7.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600

7.5- 200 Daily Double

Answer

The angle of elevation of a space shuttle from Cape Canaveral

is 17° when the shuttle is directly over a ship 12 miles

downrange. What is the altitude of the shuttle when it is directly

over the ship?

Page 52: 100 200 300 400 7.1b7.27.37.4 Trigonometry 7.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600

7.5- 300

Answer

A ranger spots a fire from a 73 foot tower in Yellowstone

National park. She measures the angle of depression to be

15°. How far is the fire from the tower?

Page 53: 100 200 300 400 7.1b7.27.37.4 Trigonometry 7.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600

7.5- 400

Answer

The angle of elevation of the top of the Ulm Cathedral from a

point 300 feet away from the base of the steeple on level ground

is 60°. Find the height of the cathedral.

Page 54: 100 200 300 400 7.1b7.27.37.4 Trigonometry 7.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600

7.5- 500

Answer

A ramp leading up to a freeway overpass is 470 ft long and rises 32 ft. What is the average angle of inclination of the ramp to the nearest tenth of a degree?

Page 55: 100 200 300 400 7.1b7.27.37.4 Trigonometry 7.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600

7.5 - 600

Answer

The angle of depression is 19° from a point 7256 ft above sea level on the north rim of the Grand Canyon level to a point 6159 ft above sea level on the south rim. How wide is the canyon at that point?

Page 56: 100 200 300 400 7.1b7.27.37.4 Trigonometry 7.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600

7.5- 100 Answer

Answer: 8271.02 ft

A hot air balloon over Park City, UT is 760 feet above the ground.

The angle of depression from the balloon to an observer is 5.25°.

Assuming the ground is flat, how far is the observer from the point

on the ground directly under the balloon?

Page 57: 100 200 300 400 7.1b7.27.37.4 Trigonometry 7.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600

7.5- 200 Daily Double Answer

Answer: 3.7 miles

The angle of elevation of a space shuttle from Cape Canaveral

is 17° when the shuttle is directly over a ship 12 miles

downrange. What is the altitude of the shuttle when it is directly

over the ship?

Page 58: 100 200 300 400 7.1b7.27.37.4 Trigonometry 7.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600

7.5- 300 Answer

Answer: 272.4 ft

A ranger spots a fire from a 73 foot tower in Yellowstone

National park. She measures the angle of depression to be

15°. How far is the fire from the tower?

Page 59: 100 200 300 400 7.1b7.27.37.4 Trigonometry 7.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600

7.5- 400 Answer

Answer: 259.8 ft

The angle of elevation of the top of the Ulm Cathedral from a

point 300 feet away from the base of the steeple on level ground

is 60°. Find the height of the cathedral.

Page 60: 100 200 300 400 7.1b7.27.37.4 Trigonometry 7.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600

7.5- 500 Answer

Answer: 3.9 ft

A ramp leading up to a freeway overpass is 470 ft long and rises 32 ft. What is the average angle of inclination of the ramp to the nearest tenth of a degree?

Page 61: 100 200 300 400 7.1b7.27.37.4 Trigonometry 7.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600

7.5- 600 Answer

Answer: 3075.6 ft

The angle of depression is 19° from a point 7256 ft above sea level on the north rim of the Grand Canyon level to a point 6159 ft above sea level on the south rim. How wide is the canyon at that point?

Page 62: 100 200 300 400 7.1b7.27.37.4 Trigonometry 7.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600

7.6- 100

Answer

Page 63: 100 200 300 400 7.1b7.27.37.4 Trigonometry 7.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600

7.6- 200

Answer

Page 64: 100 200 300 400 7.1b7.27.37.4 Trigonometry 7.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600

7.6- 300

Answer

Page 65: 100 200 300 400 7.1b7.27.37.4 Trigonometry 7.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600

7.6- 400

Answer

Page 66: 100 200 300 400 7.1b7.27.37.4 Trigonometry 7.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600

7.6- 500

Answer

Page 67: 100 200 300 400 7.1b7.27.37.4 Trigonometry 7.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600

7.6- 600

Answer

Verify:

Page 68: 100 200 300 400 7.1b7.27.37.4 Trigonometry 7.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600

7.6- 100 Answer

Answer: 3

5

Page 69: 100 200 300 400 7.1b7.27.37.4 Trigonometry 7.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600

7.6- 200 Answer

Answer:4

5

Page 70: 100 200 300 400 7.1b7.27.37.4 Trigonometry 7.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600

7.6- 300 Answer

Answer:7

25

Page 71: 100 200 300 400 7.1b7.27.37.4 Trigonometry 7.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600

7.6- 400 Answer

Answer: 2 5

Page 72: 100 200 300 400 7.1b7.27.37.4 Trigonometry 7.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600

7.6- 500 Answer

Answer:3

4

Page 73: 100 200 300 400 7.1b7.27.37.4 Trigonometry 7.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600

7.6- 600 Answer

Answer:

Verify:

2sin sinsin

cos cos

Use Pythagorean identity

2 21 cossin