If station A has SPCS83 state plane coordinates E = 634,728.082 m and N = 384,245.908 m, balance the departures and latitudes computed in Problem 20.30 using the compass rule, and determine SPCS83 coordinates of stations B and C.
Problem 20.30:
Using grid lengths of Problem 20.28 and grid azimuths from Problem 20.29, calculate departures and latitudes, linear misclosure, and relative precision for the traverse.
Problem 20.28:
Assuming a scale factor for the traverse of Problem 20.27 to be 0.99996294, calculate grid lengths for the traverse lines.
Problem 20.27:
The horizontal ground lengths of a three-sided closed-polygon traverse were measured in feet as follows: AB = 501.92, BC = 336.03, and CA = 317.88 ft. If the average orthometric height of the area is 4156.08 ft and the average geoid separation is -23.05 m, calculate ellipsoid lengths of the lines suitable for use in computing SPCS83 coordinates. (Use 6,371,000 m for an average radius for the Eart.
Problem 20.29:
For the traverse of Problem 20.27, the grid azimuth of a line from A to a nearby azimuth mark was 10°07'59" and the clockwise angle measured at A from the azimuth mark to B, 213°32'06". The measured interior angles were A = 41°12'26", B = 38°32'50" and C = 100°14'53". Balance the angles and compute grid azimuths for the traverse lines. (Note: Line BC bears easterly.)
Problem 20.27:
The horizontal ground lengths of a three-sided closed-polygon traverse were measured in feet as follows: AB = 501.92, BC = 336.03, and CA = 317.88 ft. If the average orthometric height of the area is 4156.08 ft and the average geoid separation is -23.05 m, calculate ellipsoid lengths of the lines suitable for use in computing SPCS83 coordinates. (Use 6,371,000 m for an average radius for the Earth.)