Final answer:
The closest distance at which a nearsighted person can see objects clearly when wearing contact lenses is equal to their near point.
Step-by-step explanation:
The near point of a nearsighted person is the closest distance at which they can see objects clearly without any correction. The far point is the farthest distance at which they can see objects clearly without any correction. In this case, the person's near point is given as 20.0 cm and their far point is 60.0 cm.
When the person wears their contact lenses, they can see faraway objects clearly. This means that the contact lenses correct their nearsightedness.
The closest distance at which the person can see objects clearly when wearing their contact lenses is equal to their near point, which is 20.0 cm.