The shadow of a pole 5√3m high is 5m. Find the angle of elevation of the sun.

Assessment: JAMB UTME - Mathematics - 2004 Subject: General Mathematics

Question 1 Report

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°.
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