I found this in the Wiki: Distance to the sun:

"On March 21-22 the sun is directly overhead at the equator and appears 45 degrees above the horizon at 45 degrees north and south latitude. As the angle of sun above the earth at the equator is 90 degrees while it is 45 degrees at 45 degrees north or south latitude, it follows that the angle at the sun between the vertical from the horizon and the line from the observers at 45 degrees north and south must also be 45 degrees. The result is two right angled triangles with legs of equal length. The distance between the equator and the points at 45 degrees north or south is approximately 3,000 miles. Ergo, the sun would be an equal distance above the equator."

This argument is perfectly logical. It really follows from the assumptions that the sun is 3000 miles above the earth.

But, what happens if we further apply the same reasoning?

First, it seems that the FE:ers who wrote the wiki agree with us RE:ers about distances between the latitudes. The distance between two latitudes 1 degree from each other is 111 1/9 km, so that the distance from the north pole to the eqautor is 10000 km (which was true by definition by the original definition of the meter length). Then, if the Earth is flat, it follows that the sun is exactly 5000 km above the earth, just as was deduced above (5000 km = 3000 miles ca)

Now, at the winter solstice, the FE:ers would agree that sun is directly overhead the latitude 23.5 degrees south. The distance to Luleå, northern Sweden, where I live, at latitude 65,5 degrees north (ca) is then 89 degrees, but let's say 90 degrees to be on the safe side for round off errors. The distance to the latitude 23.5 degrees south is then 10000 km (a little less, actually, but that only makes things worse for FE:ers). Just as above, we then have a right angled triangle, with a 10000 km base and 5000 km height, the right angle being at the point on earth with the sun directly overhead. The altitude of the sun seen from Luleå would then be slightly more than arctan(1/2) = 26.6 degrees.

But is this the altitude of the sun in Luleå at noon at the winter solstice? No way! The fact is that the sun only reaches just above horizon. I observe this every year. In fact, even now, about a month before winter solstice, the sun reaches just a few degrees above horizon at noon. So this FE-model is flatly (!) contradicted by everyday experience of us living far up north...

How do you explain this, my FE-friends?