From what distance will an astronaut see the Earth of the same angular size as the Moon from Earth? The radius of the Moon is 1738 km, and the distance from the Earth to the Moon is 384400 km.
The radius of the Moon is 6371/1738 = 3.666 times less than the radius of the Earth, which means that it is necessary to fly away from the Earth at a distance of 384400 * 3.666 = 1.41 million km.
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