Final answer:
The only explanation that makes astronomical sense is option c) Ancient hieroglyphs and an analysis of celestial events in Egyptian history pinpoint this date and time.
Step-by-step explanation:
The only explanation that makes astronomical sense is option c) Ancient hieroglyphs and an analysis of celestial events in Egyptian history pinpoint this date and time. While historical records from ancient Egypt can provide some insight into the reign and death of Pharaoh Amenhotep, they may not give us the exact date and time. Carbon dating of his mummy and astronomical observations can provide a general timeframe, but they may not be able to pinpoint the exact date and time. However, ancient hieroglyphs and an analysis of celestial events in Egyptian history could potentially provide more precise information about the date and time of Pharaoh Amenhotep's death.