Explanation:
now, let's turn the triangle, so that the angle (60°) is at the bottom left vertex, and the 90° angle is at the bottom right vertex.
now we see the trigonometric triangle again that we have to imagine to be inscribed into a circle, with the 60° angle being at the center of that circle.
8×sqrt(6) is then the radius of that circle.
x is sin(60)×radius
y is cos(60)×radius
sin(60) = sqrt(3)/2
cos(60) = 1/2 = 0.5
x = 8×sqrt(6)×sqrt(3)/2 = 4×sqrt(6)×sqrt(3) = 4×sqrt(18)
y = 8×sqrt(6)/2 = 4×sqrt(6)