Field bearings and distances taken all the way through: closure, compass-rule adjustment, coordinates, and the area those adjusted coordinates enclose - with the adjustment's effect on the acreage measured rather than assumed.
Analyze· about 38 minutes by hand· 6 steps
Given
A five-course closed boundary traverse was run around a parcel with a total station. Observed courses, in order from corner A:
A-B N 26°59′20″ E 423.12 ft
B-C S 55°49′15″ E 519.74 ft
C-D S 19°03′50″ W 431.68 ft
D-E S 68°22′05″ W 379.80 ft
E-A N 15°27′10″ W 480.37 ft
Distances are horizontal, in US survey feet. Corner A is held at assumed coordinates N 2000.00, E 2000.00.
Angles and distances were observed with comparable care, so the compass (Bowditch) rule is the appropriate adjustment.
Report coordinates to 0.01 ft and the area to 1 ft² and 0.001 acre.
Required
The closure in latitude and departure, the linear misclosure, and the relative precision.
Compass-rule corrections and adjusted latitudes and departures.
Adjusted coordinates for all five corners, and the enclosed area.
How much the adjustment changed the area.
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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