Answer:
If the woman pushes on the man with a force of 60.0 N due east, then according to Newton's Third Law, the man will push back on the woman with an equal and opposite force of 60.0 N due west.
Therefore, the force experienced by the woman is also 60.0 N, but it is directed towards the west instead of the east. In other words, the force experienced by the woman is equal in magnitude to the force she exerts on the man, but it acts in the opposite direction.