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Huge suspension bridges are build with the earth's roundness in mind. The two towers are plumb line straight up and down and yet, because of their colossal size, they are a bit further apart at their tops than they are at their base. So, how can we calculate what this difference would be?
Here is the input data:
If we know the earth's radius; the location of the base of the towers above sea level; The distance (from the center of each base of the tower) between the bases; and the height of the tower, how would we calculate the distance from the tops of the towers.
I made this video to explain what I am talking about but I want to have the mathematical formula to predict the distance differences between the tops of the towers compared to the base:
https://www.youtube.com/watch?v=8NuNga3Bpns
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