My sister called me yesterday with a question she dreamed up on the long drive to work. Because I stink at math I’m going to put it to You, Dear Reader. Anyone have an answer?
If there were a perfectly straight road going all the way around the world, and you could see forever, there would be a point where you could not see the road anymore because it curved over the horizon.
If you were to make a bridge as long as the Earth’s diameter, with the center resting on the surface of the Earth, and the ends not flexing at all, what would be the altitude of the ends? Assume the Earth is a perfect sphere with no mountains. Here’s a picture: