Because this will eventually come up, as per the question of why the sun does not shrink in size if it is disappearing to perspective, that may be answered by this article in our Wiki.
What I have written and linked above is how sunset works in Earth Not a Globe, and in the current Flat Earth model. There are no good rebuttals to this, as the basic tenets to the workings of perspective are backed up by experience and observation.
What we tend to get are some complaints about how perspective doesn't cause objects to REALLY meet, but again, no one is claiming that the sun is crashing into the earth. Anyone can see that this argument is not really valid when put into context.
Other rebuttals involve an attempt at using math to show that the sun would never reach the horizon; but anyone who uses this math would need to show that perspective operates according to the axioms of that continuous mathematical model, as opposed to operating according to what is experienced. The debater is unable to show or cite anything showing perspective to work in that way; and so, since this argument is made without evidence, it is discarded without evidence.
Ok, work with me here, because I'm going to try my best to understand how this works.
Now, I understand that prespective lines eventually meet. However, the sun seems to be too high to meet with the "horizon". That's assuming that perspective works the same over longer distances. What I think you're trying to say is that there is a physical limit to perspective. Because, if I look down railroad tracks with just my eyes, they eventually meet at a specific spot. But if I used a telescope, that would allow me to see farther thus pushing my perspective limit farther. But if I used a telescope on the setting sun it does not bring it into view.
So, how would I prove that it is indeed perpective that changes over longer distances?
EDIT:
I realized I made an assumption without evidence. I said that using a telescope on a setting sun cannot bring it back into view. I actually have not tried this.
So, for my next experiment, I will go to the beach at sundown and wait for the moment that the sun is no longer visible and then use a 200x zoom telescopen to see if I can bring it back into view. Does this sound like a fair experiment? Why or why not?
EDIT2:
I need to clarify I'm not arguing against how perspective works. However, how do we know it is perspective that is causing the effect we see at sundown? What experiments have been carried out at that kind of distance to prove it is convergence of perspective lines and not simply the sun going below the earth? Some ancient people's actually thought the sun went into the earth. How do we know this is wrong?
EDIT
If perspective lines do indeed behave in the way that you make it sound, wouldn't that make it impossible to get an accurate distance or size of the sun?