Traditionally, the earths surface has been modeled as a

Chapter 12, Problem 12.354

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Traditionally, the earths surface has been modeled as a sphere, but the World Geodetic System of 1984 (WGS-84) uses an ellipsoid as a more accurate model. It places the center of the earth at the origin and the north pole on the positive -axis. The distance from the center to the poles is 6356.523 km and the distance to a point on the equator is 6378.137 km. (a) Find an equation of the earths surface as used by WGS-84. (b) Curves of equal latitude are traces in the planes . What is the shape of these curves? (c) Meridians (curves of equal longitude) are traces in planes of the form . What is the shape of these meridians?

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