Answer
$x = 20.8$
Work Step by Step
Since we have the measure of one angle and the measure of the side opposite to that angle, we can use the sine ratio to find $x$, which is the hypotenuse of the triangle.
The sine ratio is given as follows:
sin $A = \frac{opposite}{hypotenuse}$
Let's plug in what we know:
sin $12^{\circ} = \frac{x}{100}$
Multiply each side by $100$:
sin $12^{\circ}(100) = x$
Multiply to solve:
$x = 20.8$
