1. Angle of Elevation and Depression
Lesson 7.5
Angle of Elevation and Depression

2. eye - level

3. eye - level

4. eye - level

5. eye - level

6. eye - level

7. 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

8. eye - level

9. eye - level

10. eye - level

11. eye - level

12. eye - level

13. 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 down
in order to see the object.
eye - level

14. eye - level
eye - level

15. The angles are equal – they are alternate angles
eye - level
eye - level

16. A Tree Casts A Shadow 87 Feet Long
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) x
50o 87

17. S O H C A H T O A Step1: label the names of the sides.x
Opposite
Step2: Choose the ratio that contains BOTH letters.
Adjacent
S O H
C A H
T O A
Opposite
tan (50) =
Adjacent x
tan (50) = 87
x =
103.7 ft

18. x

19. S O H C A H T O A Step1: label the names of the sides.
Adjacent
10o
120 ft x
Opposite
Step2: Choose the ratio that contains BOTH letters.
S O H
C A H
T O A
Opposite
tan (10) =
Adjacent
120
tan (10) = x
x =
185.1 ft

20. H.W
(3 – 11) all
page 373, 374

21. Practice and apply .. page 3733)
Name the angles of elevation and depression in the figure
Answer
The angle of elevation is angle TBP
The angle of depression is angle FPB

22. 4) S O H C A H T O A Answer Opposite Adjacent 20,000 ft xo 10,000 ft
tan (xo) =
Adjacent xo
20,000 ft
10,000 ft
50 miles
tan (xo) = ft
10,000 ft
x =
2.17o

23. 5)
7.6 m xo
18.2 m

24. 6)

25. 7)

26. 8) 7o
12.5o
75 m
lake

27. 9)

28. 10) xo
Angle of depression
500 m xo
11 km

29. 11) xo
27.6 yards
Sledding run
300 yards
Vertical drop xo