## Geometry: Common Core (15th Edition)

$x = 85.2$ m
Since we have the measure of one angle and the measure of the hypotenuse, we can use the sine ratio to find $x$, which is the side opposite to our given angle. The sine ratio is given as follows: sin $A = \frac{opposite}{hypotenuse}$ Let's plug in what we know: sin $28^{\circ} = \frac{40}{x}$ Multiply each side by $x$: sin $28^{\circ}(x) = 40$ Divide each side by sin $12^{\circ}$ to solve: $x = 85.2$ m