9514 1404 393
Answer:
x = 8
y = 4sqrt(3)
Explanation:
Your knowledge of special triangles tells you the side ratios of a 30°-60°-90° right triangle are ...
1 : √3 : 2 = 4 : y : x
Multiplying the reduced ratios by 4 gives ...
4 : y : x = 4 : 4√3 : 8
That is, ...
x = 8
y = 4√3