Final answer:
The first quarter Moon is visible high up in the South during the afternoon and early evening hours, as it rises around noon and sets around midnight. This follows approximately one week after the new Moon.
Step-by-step explanation:
The first quarter Moon, one of the main phases of the Moon, occurs approximately one week after the new Moon. This phase is characterized by the visibility of half of the Moon's illuminated side.
Due to the Moon's eastward motion, by the time of the first quarter phase, it lags about one-quarter of the day behind the Sun. It rises around noon and sets around midnight. Hence, you can see the first quarter Moon high up in the South during the afternoon and early evening hours.
Following this phase, the Moon enters a waxing gibbous phase, where even more of the illuminated side is visible, and this increases until it reaches the full Moon phase. In contrast to the first quarter Moon, the full Moon rises at sunset and sets at sunrise, being visible throughout the night.