In a closed traverse, if Algebraic sum of latitudes ∑L = negative and Algebraic sum of departures ∑D = positive, the whole circle bearing of the error of closure will be between
In a closed traverse, if Algebraic sum of latitudes ∑L = negative and Algebraic sum of departures ∑D = positive, the whole circle bearing of the error of closure will be between Correct Answer 90° to 180°
Concept:
For an error-free plotted traverse:
ΣL = 0, ΣD = 0
ΣL = Algebraic sum of Latitudes of all the sides
ΣD = Algebraic sum of departure of all the sides
For a segment AB
[ alt="F1 N.M. Nita 24.10.2019 D 1" src="//storage.googleapis.com/tb-img/production/19/10/F1_N.M._Nita_24.10.2019_D%201.png" style="width: 228px; height: 191px;">
Latitude = L cos θ & Departure = L sin θ
In whole circle bearing, Bearings are taken w.r.t North Direction
Calculation:
As Latitude is -ve & Departure is +ve
So, the line lies in the second cordinate
So, The whole circle bearing of the error of closure will be between 90° and 180°