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 equalssin3θsinθsinθsin3θcos3θcosθtanθtan3θ

Solution

The correct option is A sin3θsinθ tan3θ=hQC⇒QC=hcot3θ Similarly, QB=hcot2θQA=hcotθ ABBC=QA−QBQB−QC⇒ABBC=cotθ−cot2θcot2θ−cot3θ⇒ABBC=sin3θsinθ

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