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

Please find attached to this answer, a hand drawn diagram

Answer:

12.84°

Explanation:

To calculate Angle of Depression, we calculate using Trigonometric function or ratio. The Trigonometric function or ratio to be used based on the diagram is  Sine

sin θ = Opposite side/Hypotenuse

θ = Angle of Depression

Opposite side = Height  = 200 feet

Adjacent side = Distance of the flying bird to the observer = 900 feet

sin θ = 200feet/ 900 feet

θ = sin-¹ (2/9) or arcsin(2/9)

θ = 12.839588407°

Approximately = 12.84°

Therefore, Angle of Depression = 12.84°