?Traditionally, the earth's surface has been modeled as a sphere, but the World Geodetic

Chapter 11, Problem 51

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Traditionally, the earth's 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  and the distance to a point on the equator is .
(a) Find an equation of the earth's 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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