Elina wanted to build a ramp for her elderly cat, polly walk up to her bed. She needs the ramp to make an angle of $30^\circ$ with the bedroom floor. How long must the ramp be to reach the top of her bed that is exactly three feet above the ground ? - Clay6.com, a Free resource for your JEE, AIPMT and Board Exam preparation

Elina wanted to build a ramp for her elderly cat, polly walk up to her bed. She needs the ramp to make an angle of $30^\circ$ with the bedroom floor. How long must the ramp be to reach the top of her bed that is exactly three feet above the ground ?

$\begin{array}{1 1} (a)\; 6\sqrt{3} \; ft \\ (b)\; 6 \;
ft \\ (c)\; \dfrac{6}{\sqrt{3}}\;ft \\ (d)\; \dfrac{\sqrt 3}{6}\;ft \end{array}$