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The height of a tower is 200 m, when the elevation of the sun is $30 °$ , then the length of its shadow is

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300

\sqrt{3}

200 m

100

\sqrt{3}

200

\sqrt{3}

answer is B.

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Detailed Solution

AB $=$ Height of tower

BC $=$ length of shadow

$\tan 30 ° = \frac{A B}{B C}$

$\frac{1}{\sqrt{3}} = \frac{200}{B C}$

$B C = 200 \sqrt{3}$ mts

Length of shadow $=$ 200 $\sqrt{3}$ mts

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