Final answer:
The maximum distance at which the eye can resolve two headlights is determined by the resolution of the eye, which depends on the diameter of the pupil and the distance between the two headlights.
Step-by-step explanation:
The maximum distance at which the eye can resolve two headlights is determined by the resolution of the eye. The resolution of the eye depends on the diameter of the pupil and the distance between the two headlights. The formula to calculate the maximum distance is given by:
Maximum distance = (2 × distance between headlights × pupil diameter) / 0.02m
Using the given values of a distance of 1.3m between the headlights and a pupil diameter of 0.40cm, we can plug these values into the formula to calculate the maximum distance.