### Home > GC > Chapter 10 > Lesson 10.1.4 > Problem10-39

10-39.

For each triangle below, solve for the given variables.

b.

c.

What law can you use to solve for the two variables?

$\frac{\text{sin}x}{9}=\frac{\text{sin}110}{16}$

$16$(sin $x$) $=$ (sin $110$)$9$

$x ≈ 31.9°$
$y ≈ 10.5$

Use the Law of Cosines.

$x\approx3.7$

What trig ratio can you use to find $x$? Use the Pythagorean Theorem to find $y$.

$x\approx34.7°$