so for arguments sake lets say the sun can been seen roughly 4780 miles away so at 10% atmosphere it can be seen roughly 47,800 miles.
Thank you for your justification. We are breaching new FE ground which I have not seen covered before.
My explanation in response to that is that at sea level atmosphere is so thick and foggy that it blocks out all light after perhaps 80 miles or so. This is demonstrated by the fact that the mountains in the images I posted have dimmed considerably, while being relatively close to the observer (maybe 6-10 miles). We can see that the atmosphere is not very transparent at all. It is actually rather thick.
The reason the sun is able to shine through the atmosphere despite its fog is because the sun is an intense light source and catches onto the atmosphere like foglights in fog. See the article
The Magnification of the Sun in our encyclopedia. When we look at the sun at its setting we are not really looking at the sun, but its image upon the atmosphere.
See this headlight example from the article:

The light from these incoming headlights are a constant size down the highway as far as the eye could see. The light has caught on to the atmosphere and magnifies the line of cars, to a greater degree when the cars are at their furthest and to a lesser degree when they are close to us. Is appears as if the headlights are relatively the same size down the length of the highway, contradicting the shrinking of perspective. This is why the sun does not shrink to a tiny dot as it recedes from the observer.
Also notice that, while the headlights in the image are magnified, the red tail lights on the other lane are appropriately shrinking into the distance until they are invisible. They do not go through this effect. This is because the red tail lights are not intense enough to catch onto the atmosphere. A
certain intensity is needed for the effect to occur.
It may be that at such heights of 60,000 feet that the atmosphere is to thin that the sun can't catch onto the atmosphere in this manner and the travel great distances at sea level, yet still thick enough that it disappears relatively closely at 10% atmosphere. A 10% atmosphere is still arguably thick by your own arguments, seeing as it can still generate lift for a plane.