Finding Length of Side in a Triangle

In triangle ABC, angle A measures 60 degrees, angle B measures 45 degrees, and side AC measures 10 units. What is the length of side AB?

To solve this problem, you can use the Law of Sines, which states that for a triangle with sides $a$, $b$, and $c$, and angles $A$, $B$, and $C$ opposite those sides respectively, the following relationship holds:

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