1. **State the problem:** We need to find the size of angle $x$ in a right-angled triangle where the right angle is at the bottom left corner. 2. **Identify sides relevant to angle $x$:** - Opposite side to angle $x$ is the vertical side of length 5.8 m. - Hypotenuse is the diagonal side of length 9.6 m. 3. **Choose the trigonometric ratio:** Since we know the opposite side and hypotenuse, we use sine: $$\sin x = \frac{\text{opposite}}{\text{hypotenuse}} = \frac{5.8}{9.6}$$ 4. **Calculate sine value:** $$\sin x = 0.6042$$ 5. **Find angle $x$ by inverse sine:** $$x = \sin^{-1}(0.6042)$$ 6. **Calculate angle $x$ using a calculator:** $$x \approx 37.1^{\circ}$$ 7. **Round to 1 decimal place:** $$x = 37.1^{\circ}$$ **Final answer:** Angle $x$ is approximately $37.1^\circ$ to 1 decimal place.