Answer :
Let BC = x and AD = y be the two towers. They subtend angles 30° and 60° at the centre of the line joining their feet say P. Join C, P, D. Also join B, P and A, P. So, ∠BPC = 30° and ∠APD = 60°. Also, we get two right-angled triangles BPC and APD with right angles at C and D respectively. We have to find x:y.
From ∆BPC,
or,
or,
From ∆APD,
or,
or,
y = PD√3
So, taking the ratio we get,
Hence, the correct choice is C.
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