## Geometry: Common Core (15th Edition)

$x \approx 28^{\circ}$
Since we have the measure of the side opposite to an unknown angle and the hypotenuse of the right triangle, we can use the sine ratio to find $x$, which is the measure of the unknown angle. The sine ratio is given as follows: sin $x = \frac{opposite}{hypotenuse}$ Let's plug in what we know: sin $x = \frac{9}{19}$ Take the $sin^{-1}$ of the fraction to solve for $x$: $x \approx 28^{\circ}$