## Geometry: Common Core (15th Edition)

$x\approx2.1$ $y\approx3.6$
$\frac{sin(119)}{5}=\frac{sin(22)}{x}$--> set terms into Law of Sines $x(\frac{sin(119)}{5})=sin(22)$--> multiply both sides by term x $x=\frac{sin(22)}{\frac{sin(119)}{5}}$--> divide both sides by term $\frac{sin(119)}{5}$ to isolate x $x\approx19.1$ --> plug into a calculator and round to the nearest tenth $\frac{sin(39)}{y}=\frac{sin(119)}{5}$--> set terms equal as per law of sines $sin(39)=y(\frac{sin(119)}{5})$--> multiply both sides by term y $\frac{sin(39)}{\frac{sin(119)}{5}}=y$ --> divide both sides by $\frac{sin (119)}{5}$ to isolate y $3.6\approx y$--> plug into a calculator and round to the nearest tenth