1. **State the problem:** We have a right triangle with hypotenuse 9.5 cm and adjacent side to angle $x$ equal to 8.3 cm. We need to find the angle $x$ in degrees, correct to 1 decimal place. 2. **Formula used:** In a right triangle, the cosine of an angle is the ratio of the adjacent side to the hypotenuse: $$\cos(x) = \frac{\text{adjacent}}{\text{hypotenuse}}$$ 3. **Apply the values:** $$\cos(x) = \frac{8.3}{9.5}$$ 4. **Calculate the ratio:** $$\cos(x) = 0.8737$$ 5. **Find the angle $x$ by taking the inverse cosine (arccos):** $$x = \cos^{-1}(0.8737)$$ 6. **Evaluate using a calculator:** $$x \approx 29.3^\circ$$ 7. **Final answer:** The angle $x$ is approximately **29.3 degrees** to 1 decimal place.