Final answer:
The maximum distance at which the eye can resolve the two headlights can be calculated using the concept of angular resolution.
Step-by-step explanation:
In order to calculate the maximum distance at which the eye can resolve the two headlights, we need to use the concept of angular resolution. Angular resolution is the smallest angle that the eye can distinguish as separate objects.
To calculate the angular resolution, we can use the formula:
Angular resolution = (1.22 x wavelength) / diameter
Where wavelength is the average wavelength of light and diameter is the diameter of the pupil. Assuming an average wavelength of 550 nm and a pupil diameter of 0.40 cm, we can calculate the angular resolution.
The maximum distance at which the eye can resolve the two headlights can then be calculated using the formula:
Distance = spacing / tan(angular resolution)
Substituting the given values (spacing of 1.3 m), we can calculate the maximum distance.