Moon Distance from Mount Everest: A Category Error

The question conflates two unrelated frames:

• Moon: Orbits Earth at ~384,400 km (238,900 mi) from Earth's center.
• Mount Everest: Summit = 8,848.86 m (29,032 ft) above sea level on Earth's surface.

The Moon is not "a distance from Everest." It orbits the entire planet. The distance from Everest's summit to the Moon varies as Earth rotates and Moon orbits—roughly 384,400 km ± Earth's radius (6,371 km) ± Everest's height (negligible).

At any moment, the Moon is ~378,000–390,000 km from Everest's peak—essentially the Earth-Moon distance.