Question

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

Answer 1

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°