A shot is fired at an angle $$\alpha$$ to the horizontal up a hill (considered to be a long straight inclined plane) of inclination $$\beta$$ to the horizontal. It will strike the hill horizontally if

A

$$\tan\alpha = 2\tan\beta$$

B

$$\sin\alpha = \sin 2\beta$$

C

$$\sin\alpha = 2\sin\beta$$

D

$$\tan\alpha = 4\tan\beta$$