Okay, so lets look at the right triangle portion of the question. We can use the trigonometric ratios in order to find side a, which is opposite of the 32 degree angle.
We have three options, SOH CAH and TOA.
We will use SOH, or sine opposite over hypotenuse because we are trying to find the opposite side and we have the hypotenuse length.
So we set it up as Sin(32) = X/17. Multiple both sides by 17 to solve for X
You end up with X = 9 cm (when rounded)
Meaning that the measure of side a is about 9 cm
