Finding Side Length AB in Triangle

In triangle ABC, angle A measures 40 degrees, and angle B measures 70 degrees. The length of side AC is 10 units. Calculate the length of side AB to the nearest hundredth of a unit.

Use the Law of Sines for your calculations, which states that for any triangle:

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

where a, b, and c are the lengths of the sides opposite to angles A, B, and C respectively.