1. **Problem:** Find the hypotenuse $x$ of a right triangle where one leg adjacent to the 25° angle is 5. 2. **Formula:** Use the cosine ratio since the adjacent side and angle are known: $$\cos(\theta) = \frac{\text{adjacent}}{\text{hypotenuse}}$$ 3. **Set up the equation:** $$\cos(25^\circ) = \frac{5}{x}$$ 4. **Solve for $x$:** $$x = \frac{5}{\cos(25^\circ)}$$ 5. **Calculate:** $$x = \frac{5}{\cos(25^\circ)} = \frac{5}{0.9063} \approx 5.5185$$ 6. **Answer:** The hypotenuse $x$ is approximately **5.5185** units.