Question

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

• A. $\frac{5}{2}(2+\sqrt{3})$
• B. $5(\sqrt{3}+1)$
• C. $5(2+\sqrt{3})$
• D. $10(\sqrt{3}-1)$

Answer 1

Answer: (C)

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

$\tan {15}^o=\frac{5}{x}$

$2-\sqrt{13}=\frac{5}{x}\Rightarrow x=5(2+\sqrt{3})$