1. **Problem Statement:** We have a right triangle with a 30° angle, the side opposite this angle labeled $y$, the hypotenuse labeled 8, and the adjacent side labeled $x$. We need to find the values of $x$ and $y$. 2. **Relevant Formula:** In a right triangle with a 30° angle, the sides relate as follows: - Opposite side to 30°: $y = \frac{1}{2} \times \text{hypotenuse}$ - Adjacent side to 30°: $x = \frac{\sqrt{3}}{2} \times \text{hypotenuse}$ 3. **Calculate $y$:** $$y = \frac{1}{2} \times 8 = 4$$ 4. **Calculate $x$:** $$x = \frac{\sqrt{3}}{2} \times 8 = 4\sqrt{3}$$ 5. **Interpretation:** The side opposite the 30° angle is 4, and the adjacent side is $4\sqrt{3}$. This matches the second option given. **Final answer:** $$y = 4, \quad x = 4\sqrt{3}$$