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

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d sin α sin βsinα−β

d sin α sin βsinα+β

d sin α+ sin βsinα−β

d sin α− sin βsinα−β

answer is A.

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Detailed Solution

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

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