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Q.

From a point $P$ on a level ground, the angle of elevation of the top tower is $30 °$ . If the tower is $200 m$ high, the distance of point $P$ from the foot of the tower is

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a

$312 m$

b

$298 m$

c

$400 m$

d

$346 m$

answer is A.

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Detailed Solution

Question Image

$\tan 30 ° = \frac{R Q}{P Q}$

$\Rightarrow \frac{1}{\sqrt{3}} = \frac{200}{P Q}$

$\Rightarrow P Q = 200 \sqrt{3}$

$\Rightarrow P Q = 200 \times 1.73$

$= 346 m$

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