To determine the position from which three-fourths of the moon's illuminated side is visible from Earth, we need to understand the moon phases relative to the positions indicated in the diagram.
- Position A: The moon is positioned (to the left of Earth) where it is a New Moon (not illuminated from Earth's perspective). Therefore, none of the illuminated side would be visible.
- Position B: This position is halfway between A (New Moon) and the Third Quarter. Here, the moon would be in a Waxing Crescent phase, which means less than one-half is illuminated; therefore, not three-fourths.
- Position C: This position is to the right of Earth, where it would be a Full Moon. Here, the entire illuminated side (100%) is visible, not three-fourths.
- Position D: This position is halfway between the Full Moon (Position C) and the First Quarter. This location represents a Waxing Gibbous phase, where greater than one-half and up to three-fourths of the moon’s illuminated side is visible.
So, the correct answer for the position where three-fourths of the moon's illuminated side will be visible from Earth is:
D.