Final answer:
Pegasus will have moved approximately 60 degrees westward in the sky after four hours due to Earth's rotation, as all non-circumpolar constellations shift westward over time.
Step-by-step explanation:
When the student returns to observe Pegasus four hours later, the constellation's position in the sky will have changed due to Earth's rotation. Over four hours, the celestial sphere appears to rotate about 60 degrees (as Earth rotates 15 degrees per hour). This means that all non-circumpolar constellations, including Pegasus, will have shifted westward in the sky. Pegasus will appear to have moved approximately 60 degrees westward from its previous position in the eastern sky. Celestial sphere rotation is the same apparent motion that causes the Sun to rise in the east and set in the west each day. While the Big Dipper is in the north circumpolar zone and maintains its position relative to Polaris, non-circumpolar constellations like Pegasus do not, and thus their positions change noticeably over several hours.