Question

Consider a rectangular coordinate system with origin at the center of the earth z-axis through the North Pole, and -axis through the prime-meridian. Find the rectangular coordinates of London, England (51°32'N, 0°5'W). A minute is 1/60°. Assume the earth is a sphere of radius R 6367 km. London has coordinates -914.56,4341.06,4567) Usage: To enter a point, for example (x, y, z), type "(x, y, z)"

Answer 1

Rectangular coordinates for London, England in a geocentric coordinate system can be calculated using its latitude and longitude along with the Earth's radius.

Step-by-step explanation:

The geographic coordinate system uses latitude and longitude to locate any point on Earth. London, England's coordinates are specified by its latitude of 51° 32' N and longitude of 0° 5' W. Assuming the earth as a sphere with a radius of 6367 km, the rectangular coordinates of London in a system with the origin at the center of the Earth can be calculated. Since these calculations involve spherical to Cartesian coordinate conversion, they require trigonometric functions to determine the x, y, and z values based on London's latitude and longitude.