BullsEye

A body A is dropped froma a height hh above the ground. At the same time another body B at a distance dd from the projection of A from the ground is fired at an angle α\alpha to the horizontal. If the two collide at the maximum point of the trajectory of B the angle of the projection is given by

(A) α=tan1(dh) \alpha = \tan^{-1} \left( \frac dh \right)

(B) α=sin1(hd) \alpha = \sin^{-1} \left( \frac hd \right)

(C) α=tan1(hd) \alpha = \tan^{-1} \left( \frac hd \right)

(D) α=cos1(hd) \alpha = \cos^{-1} \left( \frac hd \right)

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