Consider the following statements with respect to the methods used to balance a traverse and identify the correct answer.

Statement A: The angles are less affected by the corrections applied by transit method than that by Bowditch's method.

Statement B: The Bowditch's method assumes that the errors in the angular measurements are inversely proportional to the square root of the length of surveyed line.

The process of adjusting the latitudes and departures to make the algebraic sum of latitudes or departures to zero is called balancing of errors.

The two types of balancing rules to eliminate errors in traverse surveying are as follows:

1) Bowditch rule (Compass rule): 

• It is most commonly adopted when angular measurement and linear measurement both are nearly of same precision. The correction is considered directly proportional to the length of the side.
• This method is based on assumption that the errors in the linear measurements are proportional to √l and that the errors in angular measurements are inversely proportional to 1/√l where l is the length of a line.

Correction for Latitude/Departure = - Total error in Latitude/Departure × \(\frac{{{\bf{length}}\;{\bf{of}}\;{\bf{the}}\;{\bf{side}}}}{{{\bf{perimeter}}\;{\bf{of}}\;{\bf{the}}\;{\bf{traverse}}}}\)

2) Transit rule: When angular measurements are more precise than linear measurement, the transit method is adopted.

Correction to latitude of any side = - Total error in latitude × \(\frac{{{\bf{Latitude}}\;{\bf{of}}\;{\bf{the}}\;{\bf{side}}}}{{{\bf{Arthmetical}}\;{\bf{sum}}\;{\bf{of}}\;{\bf{all}}\;{\bf{latitudes}}}}\)

Correction to departure of any side = - Total error in departure × \(\frac{{{\bf{Departure}}\;{\bf{of}}\;{\bf{the}}\;{\bf{side}}}}{{{\bf{Arthmetical}}\;{\bf{sum}}\;{\bf{of}}\;{\bf{all}}\;{\bf{departures}}}}\)