Final answer:
The time at which the moon will be directly above after rising at 5:08 PM cannot be determined without additional information such as the observer's location and the date, as well as considering the phase of the moon.
Step-by-step explanation:
If the moon rises at 5:08 PM, it does not necessarily mean it will be directly above you at any specific time that same evening. The moon's path across the sky varies due to its orbit around the Earth and the rotation of the Earth. Generally, when the moon does pass the meridian and is highest in the sky, it is roughly 6 hours after it rises. However, this can be affected by the observer's latitude and the phase of the moon. Since none of the provided options (12:08 AM, 6:08 PM, 12:08 PM, or 5:08 AM) accurately capture this variability, it's important to consider additional information such as your location and the date to make an accurate prediction.
The phase of the moon provides further clues to its trajectory in the sky. For instance, during a full moon, the moon rises at sunset and is highest in the sky at around midnight. Understanding the phase of the moon during which it rises at 5:08 PM is essential in determining when it will be directly overhead.