Final answer:
To calculate the maximum distance at which the eye can resolve two headlights, use the angular resolution formula and calculate the angle subtended by the headlights.
Step-by-step explanation:
The question is asking about the maximum distance at which the eye can resolve two headlights that are 1.3 m apart. This relates to the concept of resolution in optics. The maximum distance of resolution can be calculated using the angular resolution formula: d = (pupil diameter) / (angle subtended by the object). With the given pupil diameter of 0.40 cm, we can calculate the angle subtended by the headlights: angle = 2 * atan ((headlights distance) / (2 * distance from the eye)). The result will give the maximum distance at which the eye can resolve the two headlights.