Finding Length DF in Triangle DEF

In triangle DEF, angle D measures $60^{\text{o}}$, angle E measures $30^{\text{o}}$, and the length of side DE is 12 units. What is the length of side DF?

Recall that in a triangle, the sum of all angles is $180^{\text{o}}$. Additionally, you can apply the Law of Sines, which states that for any triangle with angles $A$, $B$, and $C$, and opposite sides $a$, $b$, and $c$, the following relationship holds:

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