cee291_10_sp_hw10_sol

# cee291_10_sp_hw10_sol - Spring 2010 CEE 291 PROBLEM SOLVING...

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2010 CEE 291 – PROBLEM SOLVING WITH COMPUTER TOOLS Homework 10 1. A and B are horizontal control points in Dane County, WI, with NAD83 latitudes and longitudes below: A: Latitude = 43 0 10’00.54278” N B: Latitude = 42 0 53”15.32145” N Longitude = 89 0 47’05.55678” W Longitude = 89 0 05’02.76589” W a) Using the geodetic tool kit on the National Geodetic Survey website ( www.ngs.noaa.gov ), transform the latitudes and longitudes of A and B to both Universal Transverse Mercator and State Plane Coordinates. UTM A.) North - 4783105.227 m East - 273618.477 m B.) North - 4750438.842 m East - 329816.140 m State Plane A.) North - 129644.603 m East - 617492.764 m B.) North - 99013.955 m East - 674815.675 m b) Using MATLAB, compute the Universal Transverse Mercator and State Plane distances and azimuths from A to B. On your worksheet, explain why the distances and azimuths of the two coordinate systems are not the same. Distance Azimuth AB (deg) UTM – 65002.07716 m 120.16843 State Plane - 64993.48215 m 118.11794 These two are different because of the method of projection. UTM was created for use over a large area (nearly the entire earth) so its errors here are large. State plane coordinates were designed to fit a relatively small area (a state) and fit the earth well in that area only. 2. The lengths of the semi-major and semi-minor axes of the reference ellipsoid for the GRS 1980 ellipsoid are 6,378,147 m and 6,356,752.141 m, respectively. a) Using your MATLAB worksheet in problem 1, determine the distance on the reference ellipsoid transcribed by 1’ of latitude on the equator. a= 6,378,147 and b = 6,356,752.141

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## This note was uploaded on 05/04/2010 for the course CEE 291 taught by Professor Hoopes during the Spring '10 term at University of Wisconsin.

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cee291_10_sp_hw10_sol - Spring 2010 CEE 291 PROBLEM SOLVING...

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