Traverse adjustment

Closed traverse computed from deflection angles

A five-sided loop observed with deflection angles rather than interior angles. The closure condition becomes 360 degrees rather than (n − 2) times 180, and azimuths advance by simple addition.

Apply· about 30 minutes by hand· 5 steps

Given

  • A closed five-sided loop A-B-C-D-E-A observed by deflection angles, all turned to the right.
  • Observed deflection angles: at B 57°02′00″ R, at C 66°16′30″ R, at D 84°42′15″ R, at E 58°18′50″ R, at A 93°40′40″ R.
  • Distances: A-B 443.14, B-C 491.50, C-D 420.72, D-E 504.66, E-A 528.08 ft.
  • Azimuth of A-B fixed at 28°18′00″ from a gyro observation.
  • Station A held at N 6000.00, E 2000.00.
  • Angles turned with a 20 second instrument; the working angular tolerance is 30 seconds times the square root of the number of angles.
  • Specification 1:10,000.

Required

  • The angular closure condition for deflection angles, and the misclosure.
  • The adjusted deflection angles and the resulting azimuths.
  • Latitudes, departures, misclosure, precision and adjusted coordinates.

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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