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Elementary Geometry for College Students

6th Edition

ISBN:9781285195698

Author:Daniel C. Alexander, Geralyn M. Koeberlein

Publisher:Daniel C. Alexander, Geralyn M. Koeberlein

Chapter10: Analytic Geometry

Section10.CT: Test

Problem 1CT

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An xyz-coordinate system is placed with its origin at the center of the earth, so that the equator is in the xy-plane, the North Pole has coordinates (0, 0, 3960), and the xz-plane contains the prime meridian, which is the great semicircle that runs through Greenwich, England on its way from the North Pole to the South Pole. Recall that the y-axis is oriented so that it points east, into the Indian Ocean. Find the coordinates (x,y,z) of Exeter NH, whose latitude and longitude are 43 degrees north and 71 degrees west.

System that uses coordinates to uniquely determine the position of points. The most common coordinate system is the Cartesian system, where points are given by distance along a horizontal x-axis and vertical y-axis from the origin. A polar coordinate system locates a point by its direction relative to a reference direction and its distance from a given point. In three dimensions, it leads to cylindrical and spherical coordinates.

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