Question

Find x and y.
*Show your work*

Answer 1

x=27

y=9√3

Explanation:

Since the angles in a triangle add up to 180, and we know that one angle is 30 and the other 90, the last angle is (180-90-30)=60°. Then, we can identify this as a 30-60-90 triangle, so the side opposite the 90 degree angle is a value of 2a, the side opposite the 30 degree one a, and the side opposite the 60 degree one a√3. We know 2a to be 18√3, so y, the side opposite the 30 degree angle, is a (18√3/2=9√3) and x, the side opposite the 60 degree angle, is a√3, or 9√3*√3=9*3=27