jee-main 2019 Q76

jee-main · India · session2_09apr_shift2 Sine and Cosine Rules Heights and distances / angle of elevation problem
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 the ground. Then the distance (in $m$) between the poles, is
(1) $10 ( \sqrt { 3 } - 1 )$
(2) $\frac { 5 } { 2 } ( 2 + \sqrt { 3 } )$
(3) $5 ( 2 + \sqrt { 3 } )$
(4) $5 ( \sqrt { 3 } + 1 )$
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 the ground. Then the distance (in $m$) between the poles, is\\
(1) $10 ( \sqrt { 3 } - 1 )$\\
(2) $\frac { 5 } { 2 } ( 2 + \sqrt { 3 } )$\\
(3) $5 ( 2 + \sqrt { 3 } )$\\
(4) $5 ( \sqrt { 3 } + 1 )$