question_answer

Two poles standing on a horizontal ground are of heights 5m and 10 m respectively. The line joining their tops makes an angle of \[15{}^\text{o}\] with ground. Then the distance (in m) between the poles, is :-             [JEE Main 9-4-2019 Afternoon]

A) \[\frac{5}{2}(2+\sqrt{3})\]               

B) \[5(\sqrt{3}+1)\]

C) \[5(2+\sqrt{3})\]                    

D) \[10(\sqrt{3}-1)\]

Correct Answer: C

Solution :

\[\tan {{15}^{o}}=\frac{5}{x}\]                     \[2-\sqrt{13}=\frac{5}{x}\]           \[x=5(2+\sqrt{3})\]