1. **State the problem:** We need to find the area of the shaded right triangle. The two triangles share a vertical side of length 5 meters, and the base of the right triangle is 5.8 meters. 2. **Formula for the area of a triangle:** $$\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}$$ 3. **Identify base and height:** - Base of the shaded triangle = 5.8 m - Height of the shaded triangle = 5 m (shared vertical side) 4. **Calculate the area:** $$\text{Area} = \frac{1}{2} \times 5.8 \times 5$$ $$= \frac{1}{2} \times 29$$ $$= 14.5$$ 5. **Conclusion:** The area of the shaded triangle is 14.5 square meters.