Question

Identify the correction to departure of any side in traversing.

• A. \[ \text{Correction} = \text{Total error in departure} \times \frac{\text{Length of side to be corrected}} {\text{Perimeter of the traverse}} \]
• B. \[ \text{Correction} = \text{Total error in departure} \times \frac{\text{Length of side to be corrected}} {\text{Arithmetic sum of all latitudes}} \]
• C. \[ \text{Correction} = \text{Total error in departure} \times \frac{\text{Length of side to be corrected}} {\text{Arithmetic sum of all departures}} \]
• D. \[ \text{Correction} = \text{Total error in departure} \times \frac{\text{Departure of side to be corrected}} {\text{Sum of all latitudes of traverse}} \]

Hint:

Bowditch's Rule: \[ \boxed{ \begin{aligned} \text{Correction in Latitude} &= \frac{\text{Latitude error}\times \text{Length of side}} {\text{Perimeter}},[2mm] \text{Correction in Departure} &= \frac{\text{Departure error}\times \text{Length of side}} {\text{Perimeter}}. \end{aligned} } \]

Answer 1

The Correct Option is A

Step 1: Recall Bowditch's (Compass) rule. According to Bowditch's rule, corrections are distributed in proportion to the lengths of the traverse sides.

Step 2: Write the correction formula. The correction to the departure of a side is \[ \boxed{ \text{Correction in departure} = \text{Total error in departure} \times \frac{\text{Length of the side}} {\text{Perimeter of the traverse}} } \] Hence, \[ \boxed{(A)} \] is the correct answer.