The angle of elevation of the top of a tower from a point on the ground which is 30 m away from the foot of the tower,…

CBSE Class 10 Maths PYQ · Applications of Trig · Single Triangle · 2 Marks · March 2023 · Standard

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202 Marks · March 2023 · Standard

The angle of elevation of the top of a tower from a point on the ground which is $30$ m away from the foot of the tower, is $30^\circ$. Find the height of the tower.

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Height of tower = AB
In $\triangle ABC$, $\tan 30^\circ = \frac{AB}{30}$
AB = $\frac{30}{\sqrt{3}} = 10\sqrt{3}$
$\therefore$ Height of Tower is $10 \sqrt{3}$ m