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OCR: Solution: By definition of the cosine function, cos 8 = IR, or r = R cos 8. The length of the parallel of latitude is Cp. If Ce denotes the equatorial circumference of Earth, then Cp =211 = 2IR cos 8 = Ce cos 8. b. Find the length of the 300 parallel, north or south latitude. Use R = 6400 km. Solution: Applying the formula for the length of a parallel of latitude derived in part (a) gives Cp = (6400 km)(cos 30º) = (6400 km)(0.866) = 5500 km. c. Determine the length of the Arctic Circle (660 33' N). Solution: Using the formula from part (a), the length is Cp = (6400 km)(cos 66º 33') = (6400 km)(0.398) = 2500 km. (Continued on next card.)