1. The problem asks for the closest distance a person can be to the number 6000. 2. To find the closest distance between two numbers, we use the absolute value of their difference: $$\text{Distance} = |x - 6000|$$ where $x$ is the position of the person. 3. The closest distance occurs when $x = 6000$, because the difference is zero. 4. Therefore, the closest distance is $$|6000 - 6000| = 0$$. 5. This means the person can be exactly at 6000, so the closest distance is 0.