Finding Side Length Using Sine Rule in Triangle

Consider triangle ABC where angle A is 60 degrees, angle B is 50 degrees, and side a opposite angle A measures 10 units. Calculate the length of side b opposite angle B using the sine rule, expressed as a decimal to the nearest hundredth.

Recall the sine rule states: $$ \f\frac{a}{\sin(A)} = \f\frac{b}{\sin(B)} $$