Finding Side Length Using Law of Sines

Consider triangle ABC where angle A measures 45 degrees, angle B measures 60 degrees, and side a (opposite angle A) is 10 units long. Determine the length of side b (opposite angle B) using the Law of Sines. The Law of Sines states that:

$$ \f\frac{a}{\sin(A)} = \f\frac{b}{\sin(B)} $$

Given these angles and the length of side a, solve for the length of side b.