#### Answer

$\approx 17.0$

#### Work Step by Step

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: $x=\dfrac{10}{ \sin 36^{\circ}} \approx 17.0$