Direction of Closing Error in Traversing Calculator

✖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.ⓘ Sum of Departures [ƩD]			+10% -10%
✖Sum of Latitudes is the algebraic sum of latitudes where latitude of a line is its projection onto the reference meridian (north-south line).ⓘ Sum of Latitudes [ƩL]			+10% -10%

✖Direction of closing error is the ratio of departure to latitudes.ⓘ Direction of Closing Error in Traversing [tanθ]

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Formula

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Direction of Closing Error in Traversing

Formula

`"tanθ" = "ƩD"/"ƩL"`

Example

`"0.75"="30m"/"40m"`

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Direction of Closing Error in Traversing Solution

STEP 0: Pre-Calculation Summary

Formula Used

Direction of Closing Error = Sum of Departures/Sum of Latitudes
tanθ = ƩD/ƩL
This formula uses 3 Variables

Variables Used

Direction of Closing Error - Direction of closing error is the ratio of departure to latitudes.
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.
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

Sum of Departures: 30 Meter --> 30 Meter No Conversion Required
Sum of Latitudes: 40 Meter --> 40 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

tanθ = ƩD/ƩL --> 30/40

Evaluating ... ...

tanθ = 0.75

STEP 3: Convert Result to Output's Unit

0.75 --> No Conversion Required

FINAL ANSWER

0.75 <-- Direction of Closing Error

(Calculation completed in 00.004 seconds)

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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

Direction of Closing Error in Traversing Formula

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

What is Traversing?

When the linear measurements are done with chain and tape and the directions or angles are measured with compass or transit respectively, the survey is called traversing. In traversing, speed and accuracy of the field work is enhanced.

How to Calculate Direction of Closing Error in Traversing?

Direction of Closing Error in Traversing calculator uses Direction of Closing Error = Sum of Departures/Sum of Latitudes to calculate the Direction of Closing Error, Direction of Closing Error in Traversing is defined as the ratio of departure to latitude. A traverse is balanced by applying correction to latitudes and departures. This is called balancing a traverse. Direction of Closing Error is denoted by tanθ symbol.

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

FAQ

What is Direction of Closing Error in Traversing?

Direction of Closing Error in Traversing is defined as the ratio of departure to latitude. A traverse is balanced by applying correction to latitudes and departures. This is called balancing a traverse and is represented as tanθ = ƩD/ƩL or Direction of Closing Error = Sum of Departures/Sum of Latitudes. 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 & 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 Direction of Closing Error in Traversing?

Direction of Closing Error in Traversing is defined as the ratio of departure to latitude. A traverse is balanced by applying correction to latitudes and departures. This is called balancing a traverse is calculated using Direction of Closing Error = Sum of Departures/Sum of Latitudes. To calculate Direction of Closing Error in Traversing, you need Sum of Departures (ƩD) & Sum of Latitudes (ƩL). With our tool, you need to enter the respective value for Sum of Departures & Sum of Latitudes and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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