A cannon on a level plane is aimed at an angle $\theta$ above the horizontal and a shell is fired with a muzzle velocity vs towards a vertical cliff a distance D away. Then the
height from the bottom at which the shell strikes the side walls of the cliff is

• A

  $D\sin \theta -\frac{g{D}^2}{2v_0^2{\sin }^2\theta }$

• B

  $D\cos \theta -\frac{g{D}^2}{2v_0^2{\cos }^2\theta }$

• C

  $D\tan \theta -\frac{g{D}^2}{2v_0^2{\cos }^2\theta }$

• D

  $D\tan \theta -\frac{g{D}^2}{2v_0^2{\sin }^2\theta }$