Two poles standing on a horizontal ground are of heights 5m and 10 m respectively.

Question

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\^{\circ} with ground. Then
the distance (in m) between the poles, is :-

Accepted Answer

$$\tan {15^o} = {5 \over d} \Rightarrow d = {5 \over {\tan {{15}^o}}}$$

$$ \Rightarrow {{5\left( {\sqrt 3  + 1} \right)} \over {\sqrt 3  - 1}} \Rightarrow {{5\left( {4 + 2\sqrt 3 } \right)} \over 2}$$

$$ = 5\left( {2 + \sqrt 3 } \right)$$

Solutions · 1