1. **State the problem:** We have a right-angled triangle with a 60° angle, hypotenuse of length 16 cm, and side adjacent to the 60° angle labeled as $x$. We need to find the exact value of $x$. 2. **Identify the trigonometric function:** Since $x$ is adjacent to the 60° angle and the hypotenuse is 16 cm, we use the cosine function: $$\cos(60^\circ) = \frac{\text{adjacent}}{\text{hypotenuse}} = \frac{x}{16}$$ 3. **Use the exact value of cosine for 60°:** We know $$\cos(60^\circ) = \frac{1}{2}$$ 4. **Set up the equation and solve for $x$:** $$\frac{1}{2} = \frac{x}{16} \implies x = 16 \times \frac{1}{2}$$ $$x = 8$$ 5. **Final answer:** The exact value of $x$ is $$\boxed{8 \text{ cm}}$$.