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Questions  

As seen from the top of fort of height a'' meters the angle of depression of the upper and the lower end of a lamp post are α and  βrespectively. The height of the lamp post is

a
asinβ+αsinα.sinβ
b
acosβ+αcosα.sinβ
c
asinβ−αcosα.sinβ
d
acosβ−αsinα.sinβ

detailed solution

Correct option is C

tanβ=ax⇒x=acotβ, tanα=a−hx⇒x=a−hcotαacotβ=a−hcotα⇒h=acotα−cotβcotα=a.sinβ−acosα.sinβ

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