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)?
1 answer:
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°
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