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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 ellipsold as a more accurate model. It places the center of the earth at the origin and the north pole on the positive z-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 earth's surface as used by WGS-84. (b) Curves of equal latitude are traces in the planes z-k. What is the shape of these curves? These curves are --Select--- given by the family of equations (in terms of x, y, and k) (c) Meridians (curves of equal longitude) are traces in planes of the form y-mx. What is the shape of these meridians? the family of equation Stav

traditionally, the earth's surface has been modeled as a sphere, but the World Geodetic System of 1984 (WGS-84) uses an ellipsold as a more accurate model. It places the center of the earth at the origin and the north pole on the positive z-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 earth's surface as used by WGS-84. (b) Curves of equal latitude are traces in the planes z-k. What is the shape of these curves? These curves are --Select--- given by the family of equations (in terms of x, y, and k) (c) Meridians (curves of equal longitude) are traces in planes of the form y-mx. What is the shape of these meridians? the family of equation Stav

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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 z-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 earth's surface as used by WGS-84. (b) Curves of equal latitude are traces in the planes z = k. What is the shape of these curves? These curves are ---Select--- given by the family of equations (in terms of x, y, and k) (c) Meridians (curves of equal longitude) are traces in planes of the form y=mx. What is the shape of these meridians? These meridians are ---Select--- given by the family of equations (in terms of x, z, and m)
Transcribed Image Text: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 z-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 earth's surface as used by WGS-84. (b) Curves of equal latitude are traces in the planes z = k. What is the shape of these curves? These curves are ---Select--- given by the family of equations (in terms of x, y, and k) (c) Meridians (curves of equal longitude) are traces in planes of the form y=mx. What is the shape of these meridians? These meridians are ---Select--- given by the family of equations (in terms of x, z, and m)
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