Answer
x = 16.97
Work Step by Step
In this problem since we are given the opposite side length of 12, and a variable, x, for the hypotenuse, using sine with help to solve this problem. This is how I worked through the problem:
sin(angle) = opposite / hypotenuse
sin(45) = $\frac{12}{x}$
x = $\frac{12}{sin(45)}$
x = 16.97