Two projectiles are fired from the same point with the same speed at angles of projection $60°$ and $30°$ respectively. Which one of the following is true?

$Given,u_1=u_2=u,{\theta }_1={60}^0,{\theta }_2={30}^0$

In 1^st case, we know that range

$\begin{array}{l}{R}_1=\frac{u^2\sin 2\left({60}^0\right)}{g}=\frac{u^2\sin {120}^0}{g}\\ =\frac{u^2\sin ({90}^0+{30}^0)}{g}\\ =\frac{u^2\left(\cos {30}^0\right)}{g}=\frac{\sqrt{3}{u}^2}{2g}\end{array}$

In 2^nd  case, when  , then

$R_2=\frac{u^2\sin \left({60}^0\right)}{g}=\frac{u^2\sqrt{3}}{2g}\Rightarrow R_1=R_2$