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Circumference = 2 pi R

Fraction of the circumference in 1 mile = [ 1 / (2 pi R) ]

Angle = (360 degrees) x fraction of the circumference

We know it'll be tiny, so let's right now change to seconds of longitude (3,600 seconds = 1 degree).

IF we accept the stated figure for the radius of the earth, then ...

Angle = (360 x 3600) / (2 pi R) = 1,296,000 / (7,912 pi) = 52.14 seconds of longitude

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Related Questions

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