Final answer:
The eye is nearsighted and its far point without glasses is approximately -18.18 cm.
Step-by-step explanation:
According to the given information, the eye is corrected by a -5.50-d lens, which means it has a negative optical power, indicating that the person is near-sighted. This lens is located 2.0 cm from the eye.
To determine the eye's far point, we can use the formula:
Far point = 100 / Optical power
Using the given -5.50-d lens, the far point would be:
Far point = 100 / (-5.50) = -18.18 cm
Therefore, this eye's far point without glasses is approximately -18.18 cm.