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Q.

A flag staff stands upon the top of a building. At a distance d meters  the angles of elevation of the tops of the flag staff and building are α and β respectively. The height of the flag staff is

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a

dtanα+tanβmt

b

dtanα−tanβmt

c

dsinα+sinβmt

d

dsinα−sinβmt

answer is B.

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Detailed Solution

We have tanβ=xd⇒x=dtanβAlso tanα=h+xd⇒h+x=dtanα⇒h+dtanβ=dtanα ⇒h=dtanα−tanβ
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