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A vertical tower stands on a horizontal plane and is surmounted by a vertical flag-staff of height $6\; m$ . At a point on the plane, the angle of elevation of the bottom and top of the flag-staff are $30^{\circ}$ and $45^{\circ}$ respectively. Find the height of the tower. $(Take\; \sqrt{3}=1.73)$

Answers (1)

$\\\frac{h}{x}=tan30=\frac{1}{\sqrt{3}}\\x=\sqrt{3}h..........(1)$

$\frac{6+h}{x}=tan45=1.........(2)$

From (1) and (2)

$\\\frac{6+h}{\sqrt{3}h}=1\\6+h=\sqrt{3}h\\h=\frac{6}{\sqrt{3}-1}m$

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Safeer PP

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