Determine length of the british nautical mile at north pole


Latitude is north and south location on earth between equator and poles. As earth flattens slightly at the poles, nautical mile differs with latitude. The nautical mile is provided by N(e) = 6066 - 31 * cosine 2e, e represents latitude indegrees. Determine length of the British nautical mile at Chicago (latitude 42 degrees) British nautical mile is defined as length of minute of arc of earth's radius.
Determine length of the British nautical mile at North pole( latitude of 90 degrees)
State N(e) in terms of cosine e only, don't use double angle
At what latitude north is length of British nautical mile found to be 6040 feet?

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Mathematics: Determine length of the british nautical mile at north pole
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