It is my understanding of the Flat Earth Theory that the sun is only three thousand miles from the Earth (assuming this means the point on the surface of the Earth directly below it).
Because it is always high noon somewhere in the world, I assume it travels a circular path over the equator, around the North Pole. Therefore, it must be over the Earth, in the sky, at all times. Because of its altitude - six hundred times the elevation of Mt. Everest - it must be in full view of almost every point on the surface of the Earth, minus a few areas that would be in the shadow of mountain ranges. Distance isn't a factor; atmospheric thickness isn't enough to completely shadow 3.8x10^26 watts.
If the Flat Earth Theory is true, then it is never night on Everest.
