In triangle ABC, angle A measures 30 degrees, angle B measures 60 degrees, and side a (opposite angle A) measures 10 units. What is the length of side b (opposite angle B)?
Use the Law of Sines, which states that for any triangle, the ratio of the length of a side to the sine of its opposite angle is constant:
$$ \f\frac{a}{\sin(A)} = \f\frac{b}{\sin(B)} $$