1. The problem states the relationship $d = \sqrt{\frac{3h}{2}}$ where $d$ is a distance and $h$ is a height with $h \geq 0$. 2. This formula models how distance $d$ depends on height $h$. The square root means $d$ increases as the square root of $h$. 3. The formula is derived from the general form $d = \sqrt{kh}$ where $k$ is a constant. Here, $k = \frac{3}{2}$. 4. Important rules: - The square root function $\sqrt{x}$ is only defined for $x \geq 0$, which matches $h \geq 0$. - As $h$ increases, $d$ increases but at a decreasing rate because of the square root. 5. To find $d$ for a specific $h$, substitute $h$ into the formula and simplify: $$d = \sqrt{\frac{3h}{2}}$$ 6. For example, if $h=2$, then $$d = \sqrt{\frac{3 \times 2}{2}} = \sqrt{3}$$ 7. This relationship can be graphed with $d$ on the vertical axis and $h$ on the horizontal axis, showing a curve starting at $(0,0)$ and increasing. This explains how the distance to the horizon depends on the height above the water surface.