Two poles standing on a horizontal ground are of heights

Question:

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

 

  1. $\frac{5}{2}(2+\sqrt{3})$

  2. $5(\sqrt{3}+1)$

  3. $5(2+\sqrt{3})$

  4. $10(\sqrt{3}-1)$


Correct Option: , 3

Solution:

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