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Question

A tower subtends angles θ, 2θ and 3θ at three points A,B,C respectively lying on a horizontal line through the foot of tower. Then the ratio ABBC equals
  1. sin3θsinθ
  2. sinθsin3θ
  3. cos3θcosθ
  4. tanθtan3θ


Solution

The correct option is A sin3θsinθ

tan3θ=hQCQC=hcot3θ
Similarly,
QB=hcot2θQA=hcotθ

ABBC=QAQBQBQCABBC=cotθcot2θcot2θcot3θABBC=sin3θsinθ
 

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