Q. 37 B

A flagstaff stands on the top of a tower. At a point distant d from the base of the tower, the angles of elevation of the top of the flagstaff and that of the tower are ]3 and a respectively. Prove that the height of the flagstaff is = d (tanβ – tan α).

From the ∆DBC,

Now from the ∆ABC,

Put the value of DC from the equation(i)

So,

Therefore, height of the flagstaff is .

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