Final answer:
The depth of the Challenger Deep is greater than the height of Mount Everest, with the deepest ocean trench at approximately 36,070 feet deep and Mount Everest at 29,029 feet high.
Step-by-step explanation:
When comparing the height of the world's tallest mountain to the depth of the world's greatest trench, the depth of the Challenger Deep in the Mariana Trench surpasses the height of Mount Everest. Mount Everest's summit reaches 29,029 feet (8,848 meters) above sea level. On the other hand, the Challenger Deep extends about 36,070 feet (10,994 meters) below sea level. Both of these figures are minuscule when compared to the Earth's diameter, which is about 7,917.5 miles (12,742 kilometers). The greatest ocean depth (Challenger Deep) is approximately 0.086% of the Earth's diameter, while the greatest mountain height (Mount Everest) is around 0.069% of the Earth's diameter.