Finding the Hypotenuse in a Right Triangle

Consider a right triangle ABC, where angle C is the right angle. Angle A measures $30^{\text{o}}$, and the length of side AC (the side opposite angle A) is 6 units. What is the length of side AB (the hypotenuse of the triangle)? Use the sine function for your calculations.

Recall that in a right triangle, the sine of an angle is defined as the ratio of the length of the opposite side to the length of the hypotenuse. Therefore, we have:

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