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Latitude and Nautical Mile

A nautical mile depends on latitude. It is defined as length of a minute of arc of the earth's radius. The formula is N(P) = 6066 - 31 cos 2P, where P is the latitude in degrees.

a) Find the exact latitude (to 4 decimal places) of where you live, used to live, work, or used to work (include the zip code).

The latitude for Lacey, WA 98503 = 47.0262

(b) Using the latitude found in part a and the formula N(P), find the length of a nautical mile to the nearest foot at that location.

Solution Preview

The formula for a nautical mile is N(P) = 6066 - 31cos(2P), where P is measured in degrees. You have ...