Finding the Hypotenuse in a 30-60-90 Triangle

A right triangle has one angle measuring $30^{ ext{°}}$. The length of the side opposite this angle is 5 units. What is the length of the hypotenuse of the triangle?

Use the relationship of the sides in a 30-60-90 triangle, where the lengths of the sides are in the ratio of $1 : \sqrt{3} : 2$ corresponding to angles $30^{ ext{°}}$, $60^{ ext{°}}$, and $90^{ ext{°}}$ respectively.