Here's why:

* Magnetic Poles vs. Geographic Poles: The Earth's magnetic poles are not the same as its geographic poles. They are actually opposite.

* North Magnetic Pole: The Earth's magnetic field lines point towards the North Magnetic Pole, which is located near the geographic North Pole.

* South Magnetic Pole: The Earth's magnetic field lines point away from the South Magnetic Pole, which is located near the geographic South Pole.

Therefore, the correct answer is that the Earth's south magnetic field is pointing towards the geographic South Pole.