What is the diameter of the sun, and how far from earth is it?
https://wiki.tfes.org/Distance_to_the_Sun
Well according to FE it depends on your model and starting assumptions, doesn't it...
Millersville University goes over the two ways of interpreting Eratosthenes' data. The first part of the article goes over the interpretation of his data under a Round Earth model, and the bottom part of the article goes over an interpretation of the data under a Flat Earth model.
Here's a link which explains the idea:
http://www.millersville.edu/physics/experiments/058/index.php. The first part goes over the Round Earth explanation for how the sun can be computed millions of miles distant. At the bottom there is a Flat Earth explanation for how the sun can be computed as being very close to the earth's surface. Scroll all the way to the bottom to the "alternative model" section. You will find that we can use Eratosthenes' data, in conjunction with the assumption of a Flat Earth, to confirm that in FET the sun is very near to the earth's surface.
Hence,
if we assume that the earth is flat, triangles and trigonometry can demonstrate that the celestial bodies are fairly close to the earth.
Eratosthenes' model depends on the assumption that the earth is a globe and
that the sun is far away and therefore produces parallel rays of light all
over the earth. If the sun is nearby, then shadows will change length even
for a flat earth. A flat earth model is sketched below. The vertical stick
casts shadows that grow longer as the stick moves to the left, away from the
closest point to the sun. (The sun is at height h above the earth.)
A little trigonometry shows that
Using the values 50 degrees and 60 degrees as measured on the trip, with
b=1000 miles, we find that h is approximately 2000 miles. This relatively close
sun would have been quite plausible to the ancients.
Continuing the calculation, we find that a is approximately 2400 miles and the two
distances R1 and R2 are approximately 3000 and 3900 miles, respectively.
There is no other way to get a distance for the sun. Just looking at it from a single point on earth will not tell you its distance, you must look at it from several points and account for the curvature or non-curvature of the distance between those points.
Please note: The writer of that article makes a unrelated side comment about the Flat Earth model --
That is, as we move from Florida to Pennsylvania, our distance from the sun
increases by about 30%. As a consequence the apparant size of the sun should
decrease by 30%. We see no noticeable change in the apparent size of the sun as
we make the trip. We conclude that the flat earth/near sun model does not work.
This has nothing to do with Erasthone's calculations for the sun's distance and the writer apparently did not read Chapter 10 of Earth Not a Globe. See:
Magnification of the Sun at Sunset