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Studentka2010
5 days ago
12

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 fe

et. What is the angle of depression from the bird (B) to the observer (O)?

English
1 answer:
Gnom [7.2K]5 days ago
8 0

Attached to this response is a hand-drawn diagram

Answer:

12.84°

Explanation:

To determine the Angle of Depression, we calculate it using a trigonometric function or ratio. The appropriate trigonometric function to use as shown in the diagram is Sine

sin θ = Opposite side / Hypotenuse

θ = Angle of Depression

Opposite side = Height = 200 feet

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

sin θ = 200 feet / 900 feet

θ = sin-¹ (2/9) or arcsin(2/9)

θ = 12.839588407°

Approximately 12.84°

Thus, the Angle of Depression measures 12.84°

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