Calculate Side Length Using Law of Sines

In triangle ABC, angle A measures $30^{\circ}$, and angle B measures $60^{\circ}$. The length of side a (the side opposite angle A) is 10 units. Calculate the length of side c (the side opposite angle C) using the Law of Sines.

Recall that the Law of Sines states that:

$$ \f\frac{a}{\sin(A)} = \f\frac{b}{\sin(B)} = \f\frac{c}{\sin(C)} $$

Determine the value of c (rounded to two decimal places) as your final answer.