Question

A bird (b) is spotted flying 900 feet from an observer. the observer (o) also spots the top of a tower (t) at a height of 200 feet. what is the angle of depression from the bird (b) to the observer (o)?

Answer 1

Angle of depression = 12.52°

The right angle triangle formed has a height of 200 ft and a base of 900 ft.

The opposite side of the triangle is 200 ft while the adjacent side of the triangle is 900 ft.

Using tangential ratio we can find the angle of depression. Therefore,

Let

x = angle of depression

tan x = opposite/adjacent

opposite = 200 ft

adjacent = 900 ft

tan x = 200/900

tan x = 2/9

x = tan⁻¹ 2/9

x = tan⁻¹ 0.222

x = 12.5166739144

x = 12.52°

To learn more about angle of depression from the given link

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