In triangle ABC, angle A measures 30 degrees, angle B measures 60 degrees, and side AC measures 10 units. Determine the length of side AB, using the Law of Sines. The Law of Sines states that:
$$\f\frac{a}{\sin A} = \f\frac{b}{\sin B} = \f\frac{c}{\sin C},$$
where $$a$$, $$b$$, and $$c$$ are the lengths of the sides opposite angles $$A$$, $$B$$, and $$C$$ respectively.
Calculate the length of side AB.