1. The problem asks to find the distance between the points $(0.6, 5)$ and $(7, 8)$. 2. We use the distance formula between two points $(x_1, y_1)$ and $(x_2, y_2)$: $$d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$$ 3. Substitute the given points: $$d = \sqrt{(7 - 0.6)^2 + (8 - 5)^2}$$ 4. Calculate the differences: $$d = \sqrt{(6.4)^2 + (3)^2}$$ 5. Square the differences: $$d = \sqrt{40.96 + 9}$$ 6. Add the squares: $$d = \sqrt{49.96}$$ 7. Find the square root: $$d \approx 7.07$$ The distance between the points $(0.6, 5)$ and $(7, 8)$ is approximately $7.07$.