The value x=3 and y=3√3, though these answers aren't present in the provided choices.
The content shows that the student is attempting to solve a right triangle with a 30° angle and a 60° angle.
The side opposite the 30° angle (x) in this triangle is half the length of the hypotenuse (y). The length of the side opposite the 60° angle (y) times 3 equals the length of the side opposite the 30° angle (x).
The hypotenuse looks to be 6 based on the data provided. Because 6 is the hypotenuse in this case, we can add it up as x = y/2 (opposite the 30° angle) and y = x3 (opposite the 60° angle).
Therefore, solving for this triangle gives us x = 3 and y = 3√3.
However, none of the solutions presented assume this outcome. The problem could be in the available options you've provided or in the question's offered details.