When an object is shot from the bottom of a long smooth inclined plane kept at an angle 60° with horizontal, it can travel a distance $x_1$ along the plane. But when the inclination is decreased to 30° and the same object the shot with the same velocity, it can travel $x-2$ distance. Then $x_1 : x_2$ will be

Question

( A ) $1: \sqrt2$
( B ) $1:2\sqrt 3$
( C ) $1: \sqrt3$
( D ) $\sqrt2 :1$