Answer:
We can use trigonometry to solve this problem. In a right triangle, the sine, cosine, and tangent ratios relate the side lengths of the triangle to the angles.
Since we know that angle X is 60 degrees, we can use the sine ratio to find the length of side XY:
sin(60°) = XY / YZ
Simplifying this expression, we get:
sqrt(3) / 2 = XY / 4
Multiplying both sides by 4, we get:
XY = 2sqrt(3)
Therefore, XY is equal to 2 times the square root of 3.