Problem (2)

The survey of a remnant parcel was referenced the east line of the southeast quarter of Section 21, line E21-SE21. For project coordinates, the surveyor assumed 10,000.00 ft N and 6,000.00 ft E for point E21 and due South for the direction of line E21-SE21. At point point E21 he measured 2637.41 ft to point SE21, 647.83 ft to point A, and  81°15'47 angle right to point A.

Post-adjustment coordinates of the remnant parcel corners were:

Point

North (ft)

East (ft)

A

9901.596

5359.688

B

9668.352

5270.827

C

9771.088

5034.135

 

The Regional Planning Commission (RPC) GIS system is based on a multi-county coordinate system using metric units. Its coordinates for points E21 and SE21 are:

Point

North (meters)

East (meters)

E21

43,827.359

19,231.752

SE21

43,023.821

19,200.333

Using a coordinate transformation, determine the bearing (to 01") and length (to 0.001 meter) of each remnant parcel line expressed in the RPC GIS coordinate system.

Solution