Question

On walking ............... metres on a slope at an angle of measure 30 with the ground, one can reach the height '$a$' metres from the ground.

• A. $\frac{2a}{\sqrt{3}}$
• B. $\frac{\sqrt{3}}{2}a$
• C. $2a$
• D. $\frac{a}{2}$

Answer 1

The correct option is C $2a$

Assume that on walking '$y$' metres, one can reach the height of '$a$' metres from the ground.
$\sin {30}^o=\frac{a}{y}$

$⟹\frac{1}{2}=\frac{a}{y}$
$⟹y=2a$

Hence, the answer is $2a$