Originally posted by Ghost of a Duke
'Using the theorem of Pythagoras a2 = 39632 + 12 = 15705370 and thus a = 3963.000126 miles. Thus your position is 3963.000126 - 3963 = 0.000126 miles above the surface of the earth. 0.000126 miles = 12*5280*0.000126 = 7.98 inches. Hence the earth's surface curves approximately 8 inches in one mile.'
Give or take an inch.
And about 6 miles for 2 people with eyes at 6 foot up to just see each other, further than that, they disappear except for refraction effects of hot air on top of cold which can extend the view many miles but that is a mirage and through telescopes wavey looking.
One formula is just Pythag, right triange, where the hypotenuse is the sum of the squares of the other two sides, C=hypotenuse, so A^2 + B^2=C^2 A being the radius of Earth B being the tangent to the circle of the spherical shape of Earth and the distance to where B and C intersect, and of course times two since you need one going the opposite way to complete the math. But still under ordinary circumstances, about 7 to 10 % more added to account for normal atmospheric refraction, but that is not the whole story, sometimes inversions happen where hot air is sitting on top of cold air and then all bets are off, you could see hundreds of miles over the horizon in that case.
BTW, laser experiments don't work so well due to atmospheric refractions bending the laser beam around depending on the air pressure, humidity, temperature inversions and so forth.
You tout seeing those buildings off in the distance over the lake but you didn't look close enough. The rules say if it is not just due to temperature inversion, the bottoms of the buildings will not be seen, you will see say the middle of the buildings up to the top and there are vids that prove that and I already linked them to you so don't give me 'LINK?' since you already should have viewed it if you were being intellectually honest and actually interested in truth rather than forcing math and sciene to make it appear Earth is flat. That is not science, that is politics. That is what politicians do, bend the truth to tell their lies, just like you.