Calculate Length of Side AB in Triangle

In triangle ABC, angle A measures 40 degrees, angle B measures 70 degrees, and side AC measures 10 units. Calculate the length of side AB using the Law of Sines. Use the appropriate geometric properties to derive your answer.

Recall that the Law of Sines states: $$\f\frac{a}{\sin(A)} = \f\frac{b}{\sin(B)} = \f\frac{c}{\sin(C)}$$ where $$a$$, $$b$$, and $$c$$ are the lengths of the sides opposite to angles $$A$$, $$B$$, and $$C$$ respectively.