1. **State the problem:** We are given the height of the water stream as a function of horizontal distance $d$ from the hose: $$h = -0.5 d (d - 24)$$ We need to find the height when $d=5$ meters. 2. **Rewrite the function:** Expand the expression for clarity: $$h = -0.5 d^2 + 12 d$$ 3. **Substitute $d=5$ into the function:** $$h = -0.5 (5)^2 + 12 (5)$$ 4. **Calculate the square and multiply:** $$h = -0.5 \times 25 + 60$$ 5. **Simplify:** $$h = -12.5 + 60$$ 6. **Final calculation:** $$h = 47.5$$ **Answer:** The height of the water above the ground when it is 5 meters from the hose is **47.5 meters**.