Angle of Elevation and Depression
Lesson 7.5
eye - level
eye - level
eye - level
eye - level
eye - level
eye - level
The angle between the original line of sight (eye-level) and the new line of sight is known as the angle of elevation because I have to lift up or elevate my eye in order to see the object.
eye - level
eye - level
eye - level
eye - level
eye - level
eye - level
The angle between the original line of sight (eye-level) and the new line of sight is known as the angle of depression because I have to look downin order to see the object.
eye - level
eye - level
eye - level
eye - level
The angles are equal – they are alternate angles
A Tree Casts A Shadow 87 Feet Long. If the Angle Of Elevation From The Ground To The Top Of The Tree is 50°, Find The Height Of The Tree. (round to the nearest tenth)
50o
87
x
Opposite
Adjacent
S O H
C A H
T O A
50o
87 ft
x
tan (50) =
87tan (50) =
x
103.7 ft
Step1: label the names of the sides.
Step2: Choose the ratio that contains BOTH letters.
Opposite
Adjacent
x = )50tan(87
x
Opposite
Adjacent
S O H
C A H
T O A
10o
120 ft
x
tan (10) =
xtan (10) =
120
185.1 ft
Step1: label the names of the sides.
Step2: Choose the ratio that contains BOTH letters.
Opposite
Adjacent
x = )10tan(
120
H.WH.W(3 – 11 )all
page 373, 374
3) Name the angles of elevation and depression in the figure
Practice and apply .. page 373Practice and apply .. page 373
Answer
The angle of elevation is angle TBP
The angle of depression is angle FPB
4)
10,000 ft
20,000
ft
50 miles
xo
Answer
S O H
C A H
T O A
tan (xo) =
264000 fttan (xo) =
10,000 ft
2.17o
Opposite
Adjacent
x = 264
10tan 1
5)
7.6 m
18.2 m
xo
6)
7)
8)
lake
75 m
7o
12.5o
9)
10)
500 m
11 kmxo
xo
Angle of depression
11)
Sledding run300 yards
Vertical drop
27.6 yardsxo
xo