Closed-link traverse between two pairs of control monuments
A four-course traverse runs from one control pair to another. Azimuth closure comes from the two published control azimuths and position closure from the published coordinates of the far monument.
Analyze· about 38 minutes by hand· 5 steps
Given
A link traverse runs MON-15, 101, 102, 103, MON-22. It begins on the control pair MON-14 / MON-15 and closes on the control pair MON-22 / MON-23.
Published coordinates: MON-14 N 12480.55 E 8210.33; MON-15 N 12905.12 E 8588.47; MON-22 N 13980.44 E 10255.60; MON-23 N 14320.00 E 10690.25. All US survey feet.
Angles right, from the back station to the fore station: at MON-15 (back MON-14) 196°56′05″; at 101 180°24′45″; at 102 177°16′30″; at 103 178°21′20″; at MON-22 (fore MON-23) 177°20′10″.
Distances: MON-15 to 101, 470.36 ft; 101 to 102, 524.83 ft; 102 to 103, 504.74 ft; 103 to MON-22, 484.96 ft.
Specification: 1:15,000 linear, and 10 seconds times the square root of the number of angles for azimuth closure.
Coordinates to 0.01 ft; latitudes and departures carried to 0.001 ft.
Required
The two control azimuths, by inverse.
The azimuth misclosure and the adjusted azimuths of the four traverse courses.
The position misclosure at MON-22, the precision, and the compass-rule adjusted coordinates of 101, 102 and 103.
Work it through yourself before reading on - the solution below shows every step, so there is no way to skim it without giving the answer away.
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