Question

HELP PLEASE WITH EXPLANATION

Answer 1

So hmm notice the picture below

that's the 30-60-90 rule, notice your triangle, the bottom-left-angle is a right angle, 90°, the angle atop is 30°, so the angle on the bottom-right has to be 60°, thus is a 30-60-90 triangle, and as you can see on the triangle on the left in the picture, those are the ratios for it

so 8 will be x, what is the longer leg or side in yours then? well, is $\bf 8\sqrt{3}$