Sin of an angle is the opposite measure divided by the measure of the hypotenuse.
So:
sin of 15 = 12/x
We need to get x out of the denominator so we are going to multiply both sides by x. This will cancel out the x variable on the right side of the equals sign, leaving us with:
x(sin 15) = 12
Now, we need to isolate x. To do so we divide both sides by (sin 15). (sin 15) will cancel on the left side of the equals sign, leaving us with your answer:
x = 12/(sin 15), the second option.