You are an idiot. Read the paper I linked. It shows in simple geometric terms how to calculate the visible distance using the Pythagorean theorem.
I then solved it for you and got 230 miles.
You edited your comment and added the paper after i made mine, so I didn't see it.
What exactly are you trying to solve here? Are you trying to solve for the distance down the curve, that the hypothetical mountain that is 200 miles away, would be?
My point is that you wouldn't be able to see said mountain because it would be too far down the curve of the earth. According to globe earth ttheory.
I used basic geometry and algebra to prove that you can see 230 miles from a height of 6.8 miles on a sphere that is 3,900 miles in radius and around 25k miles in circumference.
The point you are looking at isn't "68 miles down", it's a gradual descent from 6.8 miles above the ground to ground level on the sphere 230 miles out (look at the picture in the PDF).
Fascinating. I am still curious about how the angle of the curve is entirely imperceptible. Though I suppose the explanation i "it's not stark enough to notice". But even a 3.6 degree decline would seemingly be noticable at some level since, as your sight progresses up towards the horizon from the ground immediately beneath you, the ground is dropping by miles and miles.
I would be interested to hear your explanation about the ship sinking past the horizon and then being re-viewable by zooming in from the same viewpoint. I have heard many a globe earther use it as an example for the curve, but they can never explain why one could zoom in from the same viewpoint and see past the curve.
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