A body A is dropped froma a height \(h\) above the ground. At the same time another body B at a distance \(d\) from the projection of A from the ground is fired at an angle \(\alpha\) 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) \( \alpha = \tan^{-1} \left( \frac dh \right) \)

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

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

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


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