When an object is shot from the bottom of a long smooth inclined plane kept at an angle \( 60^{\...

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When an object is shot from the bottom of a long smooth inclined plane kept at an angle \( 60^{\circ} \) with horizontal, it can travel a distance \( x_{1} \) along the plane. But when the inclination is decreased to \( 30^{\circ} \) and the same object is shot with the same velocity, it can travel \( x_{2} \) distance. Then \( x_{1}: x_{2} \) will be
(a) \( \sqrt{2}: 1 \)
(b) \( 1: \sqrt{3} \)
(c) \( 1: 2 \sqrt{3} \)
(d) \( 1: \sqrt{2} \)
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