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### Self Study: Coordinate Systems

#### Problem (1)

A PLS Section resurvey in northwestern South Dakota is referenced to that state's North SPC zone on NAD 83 (2011). After measurement adjustment, the SPC coordinates of a Section corner were determined to be 735,056.25 ft N, 1,002,231.06 ft E. The elevation of the point, scaled from a topquad is 825 ft; geoid height in this area of South Dakota is -15.6 m.

Using NCAT or the NAD 83 Coordinate Conversion workbook, determine the following for the Section corner

(a) South Dakota North SPC Zone convergence

(b) South Dakota North SPC Zone combined factor (CF)

(b) UTM Zone 13 coordinates in meters