Finding the Hypotenuse Using Trigonometry

In a right triangle, angle $A$ measures $30^{ ext{o}}$. The length of the side opposite angle $A$ is 5 units. Using the sine function, what is the length of the hypotenuse of the triangle?

Recall that the sine of an angle in a right triangle is the ratio of the length of the opposite side to the length of the hypotenuse:

$$ ext{sin}(A) =\frac{ ext{opposite}}{ ext{hypotenuse}}$$