Applying the Law of Sines in Triangle ABC

In triangle ABC, angle A measures 40 degrees, angle B measures 70 degrees, and side a (opposite angle A) measures 10 units. Using the Law of Sines, calculate the length of side b (opposite angle B).

Recall that the Law of Sines states that:

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

Determine the value of side b to the nearest hundredth.