1. **State the problem:** We have a right triangle with angles 30°, 60°, and 90°. The side opposite the 30° angle is 12 meters, and we need to find the length of side $n$, which is adjacent to the 60° angle. 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 side opposite 30° is the shortest side (length $x$), - The side opposite 60° is $x\sqrt{3}$, - The hypotenuse (opposite 90°) is $2x$. 3. **Identify the given side:** The side opposite 30° is given as 12 meters, so: $$x = 12$$ 4. **Find side $n$ (adjacent to 60°):** This side corresponds to the side opposite 60°, which is: $$n = x\sqrt{3} = 12\sqrt{3}$$ 5. **Final answer:** $$\boxed{12\sqrt{3}}$$ meters This is the simplest radical form for $n$.