Find the Length of Side a in Triangle ABC

In triangle ABC, angle A measures $30^{\circ}$, and side $a$ is opposite angle A. The side $b$ is opposite angle B, which measures $60^{\circ}$. If the length of side $c$ (opposite angle C) is given as 10 units, find the length of side $a$ to the nearest hundredth.

Use the Law of Sines to solve the triangle and express your answer as a decimal.