None of the above answer choices are correct. If you solve for sinY:
sin30° = x/4
4sin30° = x
x = 2
Now that we have <em>x</em>, we use our special right triangle rules for 30-60-90 triangles. The angle across the 30° is <em>x</em>, the angle across the 60° is x√3 and our hypotenuse is 2x. Our answer would still be x = 2, so none of the answer choices are correct.