1. **State the problem:** We have a right triangle with a hypotenuse of length 5, an angle of 125° outside the triangle, and legs labeled $x$ (horizontal) and $y$ (vertical). We need to find $x$ and $y$ rounded to 1 decimal place. 2. **Understand the angles:** The angle inside the triangle adjacent to the horizontal leg is $180^\circ - 125^\circ = 55^\circ$ because the exterior angle and interior angle are supplementary. 3. **Use trigonometric ratios:** In a right triangle, for angle $55^\circ$: - $\cos(55^\circ) = \frac{x}{5}$ - $\sin(55^\circ) = \frac{y}{5}$ 4. **Solve for $x$ and $y$:** $$ x = 5 \times \cos(55^\circ) $$ $$ y = 5 \times \sin(55^\circ) $$ 5. **Calculate values:** $$ \cos(55^\circ) \approx 0.5736 $$ $$ \sin(55^\circ) \approx 0.8192 $$ 6. **Final answers:** $$ x \approx 5 \times 0.5736 = 2.868 \approx 2.9 $$ $$ y \approx 5 \times 0.8192 = 4.096 \approx 4.1 $$ **Answer:** $x = 2.9$, $y = 4.1$