A shell fired from the base of a mountain just clears it. If $\alpha$ is the angle of projection then the angular elevation of the summit $\beta$ is

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  • A

    $\frac{1}{2} \alpha$

  • B

    $tan^{-1}(1/2)$

  • C

    $tan^{-1}(1/2 \,\,tan \,\, \alpha )$

  • D

    $tan^{-1}(2 \,\,tan\,\, \alpha )$

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