The shadow of a pole 5√3m high is 5m. Find the angle of elevation of the sun.
Answer Details
The height of the pole is 5√3m and its shadow on the ground is 5m. Let x be the angle of elevation of the sun.
From the geometry of the situation, we can see that tan(x) = opposite/adjacent = (5√3)/5 = √3.
Taking the inverse tangent of both sides, we get:
x = tan^(-1)(√3) ≈ 60°
Therefore, the angle of elevation of the sun is 60°.
So the answer is (D) 60°.