## Geometry: Common Core (15th Edition)

$\approx 17.0$
The Trigonometric ratios for $sine$ function can be written as follows: $\ Sin \theta =\dfrac{Opposite}{hypotenuse}$ We are given that the side of opposite to the angle and and the angle. Our aim is to compute the length of hypotenuse . Therefore, $\sin 36^{\circ}=\dfrac{10}{x}$ By using a calculator, we have: $x=\dfrac{10}{ \sin 36^{\circ}} \approx 17.0$