1. **Stating the problem:** We have a right triangle with one angle of 60° and the side opposite this angle is 8 units. We need to find the length of the side adjacent to this angle, labeled $x$. 2. **Using trigonometric ratios:** In a right triangle, the tangent of an angle is the ratio of the opposite side to the adjacent side. Mathematically, $$\tan(60^\circ) = \frac{\text{opposite}}{\text{adjacent}} = \frac{8}{x}.$$ 3. **Solve for $x$:** Rearranging the equation gives $$x = \frac{8}{\tan(60^\circ)}.$$ 4. **Evaluate $\tan(60^\circ)$:** We know from trigonometric values that $$\tan(60^\circ) = \sqrt{3}.$$ 5. **Substitute and simplify:** $$x = \frac{8}{\sqrt{3}} = \frac{8\sqrt{3}}{3}.$$ 6. **Final answer:** The length of the adjacent side is $$x = \frac{8\sqrt{3}}{3} \approx 4.62.$$