An observer (O) is located 900 feet from a building (B). The observer notices a helicopter (H) flying at a 49° angle of elevation from his line of sight. How high is the helicopter flying over the building?

Question

Mathematics

Morgan Frye

11 July, 18:31

An observer (O) is located 900 feet from a building (B). The observer notices a helicopter (H) flying at a 49° angle of elevation from his line of sight. How high is the helicopter flying over the building?

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Answers (1)

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Karlee Larsen · Answer 1

Refer t the diagram shown below.

Let h = the height of the helicopter.

By definition,

tan (49°) = h/900

1.1509 = h/900

h = 900*1.1509 = 1035.3 ft

Answer: 1035.3 ft (nearest tenth)