Finding Side Length Using Sine Rule in Triangle

In triangle ABC, angle A is 30 degrees, and the side opposite angle A (BC) measures 10 units. Determine the length of side AB (c) using the sine rule. According to the sine rule, $$ \f\frac{a}{\sin A} = \f\frac{b}{\sin B} = \f\frac{c}{\sin C} $$ where a, b, and c are the lengths of the sides opposite to angles A, B, and C respectively.

Given that angle B is 45 degrees, calculate the length of side AB.