Find Heights with Angles of Elevation (Trignometric Quiz)

1) A ladder 12 m long leans against a wall, making a 60° angle with the ground. Approximately how high up the wall does it reach?

9 m

10 m

11 m

13 m

2) A tree casts a shadow 18 m long. If the sun’s angle of elevation is 30°, estimate the tree’s height.

9 m

10 m

12 m

14 m

3) A person looks up at a mountain peak. The angle of elevation is 25°, and they are 200 m away. Estimate the mountain’s height above eye level.

92 m

93 m

94 m

95 m

4) A flagpole casts a 15 m shadow. If the sun’s elevation is 45°, find the flagpole’s height.

12 m

13 m

15 m

17 m

5) A tree is 20 m tall. If you stand 15 m away, what is the approximate angle of elevation to the top?

50°

53°

64°

72°

6) A 12 m building casts a shadow 7 m long. What is the sun’s approximate elevation angle?

57°

60°

65°

68°

7) From a distance of 30 m, the angle of elevation to a tree is 70°. Estimate the tree’s height.

82 m

85 m

89 m

91 m

8) A person stands 100 m from a skyscraper. The angle of elevation to the top is 75°. Estimate the skyscraper’s height.

373 m

375 m

378 m

381 m

9) A building is 60 m tall. From a distance of 80 m, find the approximate angle of elevation.

35°

37°

39°

41°

10) A ladder 20 m long leans against a wall and reaches 16 m high. Find the approximate angle of elevation.

51°

53°

58°

62°

11) A student stands 40 m away from a building. The angle of elevation is 35°. Estimate the building's height.

28 m

30 m

33 m

35 m

12) A ladder reaches a window 8 m high at a 75° angle. Find the ladder’s length.

8.2 m

8.3 m

8.5 m

8.6 m

13) A building casts a shadow 24 m long. If the building is 16 m tall, what is the approximate angle of elevation of the sun?

30°

34°

37°

39°

14) A 5 m tree casts a shadow 6 m long. What is the approximate angle of elevation of the sun?

35°

40°

44°

48°

15) A 10 m ladder makes a 40° angle with the ground. How high does it reach?

6.3 m

6.4 m

6.5 m

6.6 m

16) A person stands 20 m from a statue. The angle of elevation is 45°. Find the statue’s height.

19 m

20 m

21 m

22 m

17) A building is 25 m tall. From a point 30 m away, what is the angle of elevation to the top?

38.7°

39.8°

40.5°

41.2°

18) A person stands 50 m away from a tower. The angle of elevation is 60°. Find the tower's height.

84.5 m

85.6 m

86.6 m

87.2 m

19) A student looks up at a 25 m flagpole. Standing 20 m away, find the approximate angle of elevation.

51°

58°

62°

64°

20) A pole is 8 m tall. From 10 m away, what is the approximate angle of elevation to the top?

35.4°

36.6°