### Home > PC > Chapter 1 > Lesson 1.3.1 > Problem1-98

1-98.

Given $\triangle DOG$, where $∠D = 64^\circ$, $∠O = 38^\circ$, and $DO = 8$ inches.

1. Draw a diagram that is roughly to scale.

1. Solve the triangle completely.

Determine the measure of the missing angle. Then use the Law of Sines.

$\frac{\sin(78^\circ)}{8}=\frac{\sin(64^\circ)}{OG}$

1. Calculate the area of $\triangle DOG$.

$A=\frac{1}{2}ab\ \sin\left(C\right)$