Angles of Elevation and Depression(Study by Topics Junior Class Test) : GATE Academy

Welcome to your Angles of Elevation and Depression(Study by Topics Junior Class)

NAME

PHONE NUMBER

1. A 20-foot ladder is leaning against a wall. The foot of the ladder is 7 feet from the base of the wall. What is the approximate measure of the angle the ladder forms with the ground?

20.5°

69.5°

70.7°

19.3°

2. In the diagram below, an aeroplane, P, cruising at an altitude of 10km begins its landing at Changi Airport, denoted by C, at an angle of depression of 10°.

find the distance CP, correct to 3 significant figures

5.76km

57.6km

102km

10.2km

The shadow of a tower standing on level ground is found to be 40 m longer when the sun's altitude becomes 30⁰ and 45⁰. Find the height of the tower.

90 m

30 m

120 m

55 m

4. Considering a right-angled triangle ABC, if opposite side is '12' and adjacent side of triangle is supposed as 'x' then A 48° is

17.31

19.31

18.31

15.31

The shadow of a tower is 15 m when the sun's elevation is 30⁰. What is the length of the shadow when the sun's elevation is 60⁰?

5 m

20 m

15 m

10 m

Point A lies on the ground, 40 meters away from the foot of a building. The angle of elevation of the top of the building from A is 30 degrees. What is the height of the building?

23.1 meters

59.3 meters

34.6 meters

20 meters

Find the distance of a boat from a lighthouse if the lighthouse is 100 meters tall, and the angle of depression is 6°.

765

901

853

951.4

8. The angle of depression of a spot on the ground, from the top of a wall 10 meters tall, is 70 degrees. How far along the ground, is the spot from the base of the wall?

27.5 meters

3.6 meters

29.2 meters

10.6 meters

9. A 14 foot ladder is used to scale a 13 foot wall. At what angle of elevation must the ladder be situated in order to reach the top of the wall?

21.57 degrees

6.89 degrees

68.4 degrees

42.92 degrees

10.

The string of a kite is 250 m long and it makes an angle of 60⁰ with the horizontal. What is the height of the kite? (Assume there is no slackness in the string)

150√3

75√3

125√3

50√3

11. A wheelchair ramp needs to be pitched at 30o. If the ramp is to access a 25-inch step to a door, what will the length of the ramp be? (Round to the nearest inch.)

50 inches

52 inches

85 inches

86 inches

12. A man stands at the top of a building 40 meters tall. He observers that the angle of elevation of the top of a tower, 50 meters away, is 20 degrees. What is the height of the tower?

87 meters

57.1 meters

177 meters

58.2 meters

13. A skier took 56s to traverse down the snowy slopes of a 300m high hill. Using the diagram below, if the skier traversed from point S to point Uand the angle of depression from S to U is 60°, find the speed, in km/h, at which he came down the slopes. Correct the answer to 3 significant figures.

11.2

38.7

22.3

19.4

14.

A man is walking along a straight road. He notices the top of a tower makes an angle of 60^o with the ground at the point where he is standing. If the height of the tower is h = 15 m, then what is the distance of the man from the tower?

7.5 meters

10.8 meters

8.67 meters

6.9 meters

15. A ladder of length 8 m rests against a wall so that the angle between that ladder and the wall is 31°. However far is the base of the ladder form the wall?

3.6 m

7.1 m

6. 3 m

4.1 m

6 m

16.

A lighthouse on a cliff, and a sail boat at water level. The height of the light to the base of the cliff is 80m. The sail boat is 120m from the base of the cliff. What is the angle of elevation from the boat to the light to the nearest degree? (number only)

17.

A man who is 2m tall is looking at the top of a pole at an angle of elevation of 45°. If the man is 10m away from the foot of the pole, calculate the length of the pole.

90m

10m

20m

12m

18.

The angle of elevation of the top of a tree from a point on the level ground is 45°. If the tree is 12m high, calculate the length from the foot of the tree to the point on the level ground where this observation was made.

36m

12m

1.2m

2.4m

19. A ladder of length 6 m leans against a vertical wall so that the base of the ladder is 2 m from the wall. Calculate the angle between the ladder and the wall.

22.8

19.5

20. Find side a.

8.65

8.04

10.26

7.50

21 out of 20