Two Elevation Angles: Solve Heights & Distances

1) From a point 80 m away from a tower, the angle of elevation is 30°. From a point 40 m closer (at 40 m), the angle is 49°. Find the tower's height (rounded to the nearest whole number).

46 m

54 m

42 m

50 m

2) From 200 m away, elevation to a hilltop is 15°. From 100 m away, it is 28°. Find the hill's height (rounded to the nearest whole number).

49 m

61 m

53 m

57 m

3) From 70 m away, elevation to a pole is 25°. From 35 m away, it is 45°. Find the height (rounded to the nearest whole number).

40 m

28 m

32 m

36 m

4) From 60 m away, elevation to a tower is 30°. From 30 m away, it is 49°. Find the height (rounded to the nearest whole number).

31 m

43 m

35 m

39 m

5) From 100 m away, elevation to a building is 25°. From 50 m away, it is 43°. Find the height (rounded to the nearest whole number).

55 m

43 m

47 m

51 m

6) From 200 m away, elevation to a mountain top is 12°. From 100 m away, it is 23°. Find the height (rounded to the nearest whole number).

50 m

38 m

42 m

46 m

7) From 250 m away, elevation to a cliff is 14°. From 125 m away, it is 27°. Find the height (rounded to the nearest whole number).

71 m

59 m

63 m

67 m

8) From 90 m away, elevation to a tower is 22°. From 45 m away, it is 41°. Find the height (rounded to the nearest whole number).

35 m

47 m

39 m

43 m

9) From a point 100 m away from a building, the angle of elevation is 25°. From 50 m closer (at 50 m), the angle is 43°. Find the building's height (rounded to the nearest whole number).

55 m

47 m

51 m

43 m

10) From 120 m away from a pole, the elevation angle is 20°. From 60 m closer (at 60 m), the angle is 36°. Find the pole's height (rounded to the nearest whole number).

52 m

40 m

44 m

48 m