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Question

Two poles of heights 18 metre and 7 metre are erected on a ground. The length of the wire fastened at their tops in 22 metre. Find the angle made by the wire with the horizontal.

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Solution

Let AB and CD be the two poles standing on the ground.

Suppose the angle made by the wire with the horizontal be θ.



Here, AB = 18 m and CD = 7 m.

Length of the wire fastened at their tops = AC = 22 m

AE = AB − EB = 18 − 7 = 11 m (EB = CD)

In right ∆AEC,

sinθ=AEACsinθ=1122=12sinθ=12=sin30°θ=30°
Thus, the angle made by the wire with the horizontal is 30º.

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