The distance from the earth to the moon does vary. At the particular time and date the ham radio operators calculated the distance was 238,150 miles.
What is your reply to that.?
My reply is that ham radio operators claim to have calculated a distance of 238,150 miles.
When I went down to the beach, I could see the horizon and it was a distinct line where the sea and sky meet and it was about 2 to 3 miles distant.
What is your reply to that ?
My reply is that this is mostly irrelevant.
On the flat earth, all that limits the distance we can see is limited transparency of the atmosphere.
Even for perfectly clear air, Rayleigh scattering limits this to a couple of hundred miles and we know that the air is rarely this clear.
So please explain why, on the flat earth, the horizon does not simply fade into a blue.
On the globe, the distance to the horizon is set by the curvature of the earth (and possible some refraction) and can show a quite sharp line. So I think it is not only completely relevant, but one of the simplest arguments for a curved ocean.
In these examples how does TFES explain the difference between flat earth and round earth ?
Nothing in what you posted suggests a round earth.
I beg to differ!
The "distance of 238,150 miles" from the earth to the moon is completely inconsistent with any Flat Earth model we have seen and it completely blows any of the FE's theories of lunar phases, lunar eclipses and solar eclipses right out of the water.
So, I would say of your claim that "Nothing in what you posted suggests a round earth" might literally be true, but sure plays havoc with you flat earth ideas!
The current distance from the earth has been measured by a variety of methods, some of which rely on the Globe model of the solar system (parallax, meridian crossing and eclipses) and some direct methods (radar and laser measurements) and these are consistent with historical measurements of the distance to the moon.
But, I can find absolutely no reference to any flat earth measurements of the distances to the moon.
So, I would say that these measurements certainly are very relevant to whether the earth is flat of a Globe.