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