1. **Problem statement:** Find $\tan(x)$ for a right triangle with legs 3 (vertical) and 4 (horizontal), and hypotenuse 5, where angle $x$ is adjacent to the side of length 4. 2. **Recall the definition:** $\tan(x) = \frac{\text{opposite}}{\text{adjacent}}$. 3. **Identify sides relative to angle $x$:** - Opposite side to $x$ is the vertical leg = 3. - Adjacent side to $x$ is the horizontal leg = 4. 4. **Calculate $\tan(x)$:** $$\tan(x) = \frac{3}{4} = 0.75$$ 5. **Answer:** $\tan(x) = \frac{3}{4}$ or 0.75.