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City A is due north of City B. Find the distance between City A ​(37 degrees 2 prime north​ latitude) and City B ​(19 degrees 44 prime north​ latitude). Assume that the radius of Earth is 3960 miles.

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sqdancefan

Answer:

  1196 mi

Step-by-step explanation:

The latitude difference is 17°18', so is about 0.301942 radians. Then the arc length is ...

  s = r·θ = (3960 mi)(0.301942) ≈ 1196 mi