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Questions  

The angles of elevation measured from two points A and B on a horizontal line from the foot of a tower are α and β. If AB=d, then the height of the tower is

a
d sin α sin βsinα−β
b
d sin α sin βsinα+β
c
d sin α+ sin βsinα−β
d
d sin α− sin βsinα−β

detailed solution

Correct option is A

tanβ=hx⇒x=h cotβtanα=hx+d⇒x+d=h cotα ⇒hcotβ+d=hcotα⇒h=dcotα−cotβ=d.sinαsinβsinβ−α

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