Two poles of heights 10 m and 20 m stand vertically on level ground. The distance between their feet is 10√3 m. Find the angle of elevation of the top of the taller pole as seen from the top of the shorter pole.
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Question

Two poles of heights 10 m and 20 m stand vertically on level ground. The distance between their feet is 10√3 m. Find the angle of elevation of the top of the taller pole as seen from the top of the shorter pole.

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G1 Physics · Accepted Answer

The vertical difference between the tops is 20−10=10 m and horizontal separation is 10√3 m. Thus tanθ=10/(10√3)=1/√3, so θ=30°.