1. **State the problem:** We have a right triangle with a hypotenuse of length 16, a 30° angle, and we need to find the lengths of the other two sides, labeled $x$ and $y$. 2. **Recall the properties of a 30°-60°-90° triangle:** In such a triangle, the sides are in the ratio $1 : \sqrt{3} : 2$, where the hypotenuse is twice the length of the shortest side. 3. **Identify sides:** The hypotenuse is 16, so the shortest side (opposite 30°) is half of 16: $$x = \frac{16}{2} = 8$$ 4. **Calculate the other leg (opposite 60°):** It is $x \times \sqrt{3}$: $$y = 8 \times \sqrt{3} = 8\sqrt{3}$$ 5. **Approximate $y$ to two decimal places:** $$y \approx 8 \times 1.732 = 13.86$$ **Final answers:** $$x = 8.00$$ $$y = 13.86$$