Angular closure with a suspected blunder in one angle
A six-sided traverse misses its angular closure by 2′36″ against a 37 second tolerance. The size of the misclosure identifies a single blunder, which is traced in the field book and removed before any adjustment.
Analyze· about 30 minutes by hand· 6 steps
Given
A closed six-sided loop traverse A-B-C-D-E-F-A, interior angles observed to the right.
Observed angles as booked: A 84°38′15″, B 141°10′05″, C 136°26′11″, D 106°46′50″, E 118°49′40″, F 132°11′35″.
Azimuth of A-B fixed at 109°39′15″. Station A held at N 2000.00, E 3000.00.
Angles were turned in two sets with a 5 second instrument. The angular tolerance is 15 seconds times the square root of the number of angles.
Linear specification 1:10,000.
Required
The angular misclosure and whether it is within tolerance.
Identification of the blunder, and the corrected angle.
The adjusted angles, azimuths, coordinates and precision after the blunder is removed.
What the traverse would have produced if the misclosure had simply been distributed.
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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