Sum of Departure given Direction of Closing Error Solution

STEP 0: Pre-Calculation Summary
Formula Used
Sum of Departures = Direction of Closing Error*Sum of Latitudes
ƩD = tanθ*ƩL
This formula uses 3 Variables
Variables Used
Sum of Departures - (Measured in Meter) - Sum of Departures is the algebraic sum of departures where, departure of a line is its projection onto a line at right angles of the reference meridian.
Direction of Closing Error - Direction of closing error is the ratio of departure to latitudes.
Sum of Latitudes - (Measured in Meter) - Sum of Latitudes is the algebraic sum of latitudes where latitude of a line is its projection onto the reference meridian (north-south line).
STEP 1: Convert Input(s) to Base Unit
Direction of Closing Error: 0.75 --> No Conversion Required
Sum of Latitudes: 40 Meter --> 40 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ƩD = tanθ*ƩL --> 0.75*40
Evaluating ... ...
ƩD = 30
STEP 3: Convert Result to Output's Unit
30 Meter --> No Conversion Required
FINAL ANSWER
30 Meter <-- Sum of Departures
(Calculation completed in 00.004 seconds)

Credits

Created by Chandana P Dev
NSS College of Engineering (NSSCE), Palakkad
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Meerut Institute of Engineering and Technology (MIET), Meerut
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12 Traversing Calculators

Total Error in Latitude if Correction is Known from Bowditch Rule
Go Error in Latitude = Correction to Latitude*Perimeter of Traverse/Latitude of Line
Correction to Latitude by Bowditch Rule
Go Correction to Latitude = Error in Latitude*Latitude of Line/Perimeter of Traverse
Correction of Latitude by Transit Rule
Go Correction to Latitude = Error in Latitude*Latitude of Line/Sum of Latitudes
Correction to Second Bearing for given Closing Error
Go Correction to Second Bearing = (2*Closing Error/Number of Sides)*(pi/180)
Correction to First Bearing for given Closing Error
Go Correction to First Bearing = (Closing Error/Number of Sides)*(pi/180)
Correction to Northing in Transit Rule
Go Closing Error = 0.5*Error in Latitude*Northing/Sum of Northings
Sum of Departures given Closing Error
Go Sum of Departures = sqrt(Closing Error^2-Sum of Latitudes^2)
Sum of Latitudes given Closing Error
Go Sum of Latitudes = sqrt(Closing Error^2-Sum of Departures^2)
Closing Error in Traversing
Go Closing Error = sqrt(Sum of Latitudes^2+Sum of Departures^2)
Sum of Latitudes given Direction of Closing Error
Go Sum of Latitudes = Sum of Departures/Direction of Closing Error
Sum of Departure given Direction of Closing Error
Go Sum of Departures = Direction of Closing Error*Sum of Latitudes
Direction of Closing Error in Traversing
Go Direction of Closing Error = Sum of Departures/Sum of Latitudes

Sum of Departure given Direction of Closing Error Formula

Sum of Departures = Direction of Closing Error*Sum of Latitudes
ƩD = tanθ*ƩL

What are the different methods of Traversing?

1. By Chain: The linear as well as angular measurements are done with the help of chain and tape only.
2. Free or Loose needle Method: In this method the linear measurements are done with the help of either chain or tape and the bearings are measured with the help of a compass.
3. Fast needle Method: In this method, the linear measurements are made with the help of a chain or tape and the bearings are measured with the help of a theodolite.

How to Calculate Sum of Departure given Direction of Closing Error?

Sum of Departure given Direction of Closing Error calculator uses Sum of Departures = Direction of Closing Error*Sum of Latitudes to calculate the Sum of Departures, The Sum of Departure given Direction of Closing Error is defined as the line projected from the considered line towards the east or west direction. Sum of Departures is denoted by ƩD symbol.

How to calculate Sum of Departure given Direction of Closing Error using this online calculator? To use this online calculator for Sum of Departure given Direction of Closing Error, enter Direction of Closing Error (tanθ) & Sum of Latitudes (ƩL) and hit the calculate button. Here is how the Sum of Departure given Direction of Closing Error calculation can be explained with given input values -> 30 = 0.75*40.

FAQ

What is Sum of Departure given Direction of Closing Error?
The Sum of Departure given Direction of Closing Error is defined as the line projected from the considered line towards the east or west direction and is represented as ƩD = tanθ*ƩL or Sum of Departures = Direction of Closing Error*Sum of Latitudes. Direction of closing error is the ratio of departure to latitudes & Sum of Latitudes is the algebraic sum of latitudes where latitude of a line is its projection onto the reference meridian (north-south line).
How to calculate Sum of Departure given Direction of Closing Error?
The Sum of Departure given Direction of Closing Error is defined as the line projected from the considered line towards the east or west direction is calculated using Sum of Departures = Direction of Closing Error*Sum of Latitudes. To calculate Sum of Departure given Direction of Closing Error, you need Direction of Closing Error (tanθ) & Sum of Latitudes (ƩL). With our tool, you need to enter the respective value for Direction of Closing Error & Sum of Latitudes and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Sum of Departures?
In this formula, Sum of Departures uses Direction of Closing Error & Sum of Latitudes. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Sum of Departures = sqrt(Closing Error^2-Sum of Latitudes^2)
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