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if your shadow is twice your height, what is the angle of elevation of the sun?

A. The angle of elevation is about 27°
B. The angle of elevation is 30°
C. The angle of elevation is 60°
D. The angle of elevation is 63°​

Respuesta :

Answer:

The angle of elevation is about 27°

Step-by-step explanation:

Let's view this case in the form of a right angled triangle. With the original height as the opposite side to the elevation angle and the shadow length as the adjacent side.

Let x represent the original height

2x is the length of shadow

And θ the angle of elevation

Applying trigonometry;

Tan θ = opposite/adjacent = original height/shadow length

Substituting the values;

Tan θ = x/2x

Tan θ = 1/2

θ = taninverse(1/2)

θ = 26.56505117707

θ ≈ 27°

Elevation angle is approximately 27°

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