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**Xarzu****Member**- Registered: 2017-09-11
- Posts: 1

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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**bob bundy****Administrator**- Registered: 2010-06-20
- Posts: 8,462

hi Xarzu,

You've posted this as an exercise, but you've made it seem more like a help me problem. There's a difference: If it's an exercise, then members have a go for fun and maybe just post an answer. If it's a help me, then much more explanation would be provided and the 'student' encouraged to do some / most of the working themselves. Please clarify.

Bob

Children are not defined by school ...........The Fonz

You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei

Sometimes I deliberately make mistakes, just to test you! …………….Bob Bundy

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