Finding the Length of a Side in Triangle Using Law of Sines

In triangle ABC, let the lengths of sides AB, BC, and AC be represented by $c$, $a$, and $b$ respectively. The angles opposite to these sides are denoted as $C$, $A$, and $B$. Given the following information:

• Angle A measures $70^{ ext{o}}$.
• Angle B measures $80^{ ext{o}}$.
• Side $b$ (opposite angle B) measures 25 units.

Using the Law of Sines, what is the length of side $a$ (opposite angle A)?

Recall that the Law of Sines states that:

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