The angles of a triangle are in the ratio $3:5:10$.Then the ratio of the smallest side to the greatest side is :

Question

$$\begin {array} {1 1} (a)\;1: \sin 10^{\circ} & \quad (b)\;1:2 \sin 10^{\circ} \\ (c)\;1:\cos 10^{\circ} & \quad (d)\;1:2 \cos 10^{\circ} \end {array}$$