1. The problem asks to find the distance between the points $(15,11)$ and $(33,36)$. 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: $$d = \sqrt{(33 - 15)^2 + (36 - 11)^2}$$ 4. Calculate the differences: $$d = \sqrt{18^2 + 25^2}$$ 5. Square the differences: $$d = \sqrt{324 + 625}$$ 6. Add inside the square root: $$d = \sqrt{949}$$ 7. Use a calculator to find the square root and round to the nearest hundredth: $$d \approx 30.81$$ 8. Therefore, the distance between the points $(15,11)$ and $(33,36)$ is approximately $30.81$.