Which of the following is correct formula for closing error in traversing? (where, ∑L= algebraic sum of latitudes, ∑D = algebraic sum of departure, e = closing error)

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HPCL Engineer Civil 23 Dec 2023 Official Paper
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Option 4 :
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Detailed Solution

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Concept:

The equation for closing error and angle fo misclosure is given by,

Where,

e = closing error, θ = angle of misclosure

ΣL = Algebraic sum of latitudes of all lines  

ΣD = Algebraic sum of departures of all lines

Important Points 

Latitude: It is the length (L) of projection of a line onto the North-South (L cosθ) axis.

Northing → Positive, Southing → Negative

Departure: It is the projection of the line (L) onto the east-west (L sinθ) axis.

Easting → Positive, Westing → Negative

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