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Bonus Problem. The geographical coordinates of Indianapolis (IND) are 39.77N, 86.16W, and the ones of Seattle (SEA) are 47.61N, 122.33W. Use conversion formulas from spherical

Bonus Problem. The geographical coordinates of Indianapolis (IND) are 39.77N, 86.16W, and the ones of Seattle (SEA) are 47.61N, 122.33W. Use conversion formulas from spherical to rectangular coordinates, to find the central angle a (in degrees) between Indianapolis and Seattle, the angle between the vectors from the center of the Earth to Indianapolis and to Seattle. (10 points)

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