Question

Law of Sines, due by tonight

Answer 1

Answer:

$21^{\circ}$

Step-by-step explanation:

The Law of Sines is given by $\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}$ and works for every triangle.

Substituting given values, we have the following equation:

$\frac{\sin 68^{\circ}}{18}=\frac{\sin C}{7}, \\\\\sin C=\frac{7\sin 68^{\circ}}{18},\\\\C=\sin^{-1}(0.36057149899),\\\\C\approx \boxed{21^{\circ}}$

*Note that because $\sin \theta=\sin(180-\theta)$, when solving for an angle with the Law of Sines, there may be two answers. However, since the problem designates angle C as an acute angle, the other angle is negligible.