1. **State the problem:** We have a right triangle with one leg measuring 11 units adjacent to a 70° angle, and we want to find the length of the side opposite the 70° angle, labeled $x$. 2. **Identify the trigonometric function:** Since $x$ is opposite the 70° angle and 11 is adjacent, we use the tangent function: $$\tan(70^\circ) = \frac{x}{11}$$ 3. **Solve for $x$:** Multiply both sides by 11: $$x = 11 \times \tan(70^\circ)$$ 4. **Calculate the value:** Using a calculator, $$\tan(70^\circ) \approx 2.747$$ So, $$x = 11 \times 2.747 = 30.217$$ 5. **Round the answer:** To the nearest tenth, $$x \approx 30.2$$ **Final answer:** $x = 30.2$