Length of Side in Triangle Using Law of Sines

In triangle PQR, angles P and Q measure $45^{\circ}$ and $75^{\circ}$ respectively. If the side opposite angle P is 10 units, determine the length of the side opposite angle Q (side QR) using the Law of Sines.

Recall that the Law of Sines states:

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