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# Two stones are projected with the same speed but making different angles with the horizontal.Their horizontal ranges are equal.The angle of projection of one is $\large\frac{\pi}{3}$ and the maximum height reached by it is 102 metre.Then the maximum height reached by the other in metre is

$\begin{array}{1 1}336\\224\\56\\34\end{array}$

$\large\frac{h_1}{h_2}=\frac{\sin^2\Large\frac{\pi}{3}}{\sin^2\Large\frac{\pi}{6}}$
$\Rightarrow \large\frac{\Large\frac{3}{4}}{\Large\frac{3}{4}}$$=3 h_2=\large\frac{h_1}{3}=\frac{102}{3}$$m=34m$

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