The town of Montezuma, Summit County, Colorado is located at geodetic coordinate

Question

The town of Montezuma, Summit County, Colorado is located at geodetic coordinates: This puts Montezuma In the Colorado Central zone of SPCS, which Is based on the Lambert conformal conic projection. Calculate the State Plane coordinates of Montezuma. Colorado. Note that zone constants for all SPCS zones can be found In Ghilani and Wolf Appendix F. Also note that the constant labeled phi_0 is NOT the central parallel necessary for calculating n. This Is a type in the book. What is listed as phi_0 is actually the grid origin phi_b. You can assume that the central parallel is exactly half way between the northern and southern standard parallels

Explanation / Answer

Answer:

State plane coordinate system divides the USA into several zones, as Montezuma, Colorado falls under the 0503 Colorado zone. By converting latitude 39°3453N and longitude 105°524W into degrees we get 39.5813889°, -105.8677778° and convert this into minutes we get 39°34.88333', -105°52.06667' and in minutes seconds we get 39°34'53.0000", -105°52'04.0000" .

As the standard unit for state plane coordinate system are in meters therefore, the above coordinates are converts into meters we get 0503 882791.983m E and 628415.106m N.

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