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°
