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Q.

Flag-staff of length d stands on a tower of height h if at a point on the ground the angles of elevation of the tower and the top of the flag staff be α,β respectively then h

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a

dtanαtanβ

b

dtanβtanαtanβ

c

dtanαtanβcotαcotβ

d

dcotβcotαcotβ

answer is A.

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Detailed Solution

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from Δle APBtanα=hxx=hcotα(1)ΔAPCtanβ=h+dxx=(d+h)cotβ(2)from(1) and (2)hcotα=(d+h)cotβhcotα=hcotβ+dcotβh[cotαcotβ]=dcotβh=dcotβcotαcotβ

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