$\sqrt{\frac{2 s}{a_{a}}}=\frac{1}{2} \sqrt{\frac{2 s}{a_{d}}}$

$a_{a}=g \sin \theta+\mu g \cos \theta$

$=\frac{g}{2}+\frac{\sqrt{3}}{2} \mu g$

$a_{d}=g \sin \theta-\mu g \cos \theta$

$=\frac{g}{2}-\frac{\sqrt{3}}{2} \mu g$

Using the above values of $a_{a}$ and $a_{d}$ and putting in equation $(i)$ we will gate $\mu=\frac{\sqrt{3}}{5}$