We have measured the distance of the Moon from the earth using various methods, including lasers. One can shine a bright laser at the moon and have the light reflected back. Using the speed of the laser and the reflected light, we can figure the distance the light traveled.
That would be roughly 239,000 miles. Since the moon appears between the earth and the sun, the sun is not 3,000 miles from the earth, according to the distance of the moon from the earth.
The sun would need to be much further than 239,000 miles.
The ancient Greeks also figured this out using more primitive means, and their tests can be done using two people with long-range communications (cell phone). The distance derived from these tests supports the laser tests of the moon's distance from the earth.
'We' have measured the distance of the moon?
This is the problem with heliocentric theory. NASA dictates the information to keep people indoctrinated. Scripture denies what NASA says and teaches that the earth is enclosed, under a firmament (dome structure) and that the sun and moon and stars reside in and under the dome, with water above that. So, one has to ask, can the sun, which is said by NASA to be 93,000,000 miles away in the heliocentric system, be housed under a visible dome? With water above it?
Gen 1. 6 And God said: Let there be a firmament made amidst the waters: and let it divide the waters from the waters.
Gen 1.7 And God made a firmament, and divided the waters that were under the firmament, from those that were above the firmament, and it was so.
Gen 1:14-16 And God said: Let there be lights made in the firmament of heaven, to divide the day and the night, and let them be for signs, and for seasons, and for days and years: 15 To shine in the firmament of heaven, and to give light upon the earth. And it was so done. 16 And God made two great lights: a greater light to rule the day; and a lesser light to rule the night: and the stars.
Psalm 19:1 The heavens shew forth the glory of God, and the firmament declareth the work of his hands.