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MATH ANGLE OF ELEVATION AND DEPRESSION PRACTICE

Total questions: 9

Worksheet time: 10mins

Name
Class
Date
1.

1.The angle of elevation of the top of the building from a point 30 meters away from building is 65°. How tall is the building?

a)

50m

b)

64.33m

c)

23.1m

d)

60m

2.

2.If an airplane that is cruising at an altitude of 9km wants to land at NAIA, it must begin its descent so that the angle of depression to the airport is 70°. How far is the airplane from the airport?

a)

3.27km

b)

2.19km

c)

5km

d)

4.5km

3.

3.Find the measure of angle A

a)

34°

b)

26.56°

c)

22.3°

d)

12.5°

4.

4.A ladder 6 meters long leans against the wall of a building. If the foot of the ladder makes an angle of 68° with the ground,how far is the base of the ladder from the wall?

a)

3.14m

b)

2.5m

c)

2.24m

d)

1m

5.

5.John made a kite to ease his boredom during afternoon.The distance of the kite to the ground is about 919.25 meters.How long is the string used by john if the angle of elevation is 50°

a)

1,500m

b)

1,878m

c)

500m

d)

1,999m/2,000m

6.

6.Mark is at the top of a mountain where there is an overlooking view of a lake.If the height of the mountain is about 350 meters and the angle of depression of mark to the lakeshore is 62°19', find the distance of the lake shore to the foot of the mountain.

a)

183.62m

b)

134.15m

c)

200m

d)

150.19m

7.

7.A car is 90 meters away from a building. If the height of the building is 135 meters, find the angle of depression from the top of the tower to the car

a)

60°

b)

57.5°

c)

55°

d)

56.30°

8.

8.A ship receives a sonar reflections at an angle of 31° from a submarine 27km above the surface of water. How far is the ship from the submarine?

a)

52.42m

b)

50m

c)

49.8m

d)

51m

9.

9.Find the height of the flagpole

a)

9m

b)

7.5m

c)

8.16m

d)

8m