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  4. Two poles standing on a horizontal ground are of heights 5 m and 10 m respectively. The line joining their tops makes an angle of 15° with ground. Then the distance (in m) between the poles, is :

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Q. Two poles standing on a horizontal ground are of heights $5\,m$ and $10\, m$ respectively. The line joining their tops makes an angle of $15^{\circ}$ with ground. Then the distance (in m) between the poles, is :

JEE MainJEE Main 2019Trigonometric Functions

Solution:

$\tan 15^{\circ} = \frac{5}{x}$
$ 2 - \sqrt{13} = \frac{5}{x} $
$ x=5 \left(2+\sqrt{3}\right) $

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