Question:

In a closed traverse with five sides, the closing error found from the fore bearing and back bearing of the last line is $+0.5^\circ$. The correction to the fourth line will be:

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In angular correction for traverse, the total error is distributed across the lines in proportion to their positions (Bowditch rule), or equally when no lengths are given. Sign of correction is opposite to the error.
Updated On: Apr 17, 2025
  • $-0^\circ12'$
  • $0^\circ18'$
  • $-0^\circ24'$
  • $0^\circ30'$
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The Correct Option is C

Solution and Explanation

In a closed traverse, the total angular correction (here, $+0.5^\circ = +30'$) is distributed among the traverse lines in proportion to their lengths or equally if lengths are not specified. For a traverse with 5 sides, the corrections per line = \[ \frac{30'}{5} = 6' \] Correction to the fourth line (being the 4th in sequence from start) = \[ -6' \times 4 = -24' \]
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