Sum of Latitudes given Direction of Closing Error 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%
✖Direction of closing error is the ratio of departure to latitudes.ⓘ Direction of Closing Error [tanθ]			+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 given Direction of Closing Error [ƩL]

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Formula

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Sum of Latitudes given Direction of Closing Error

Formula

`"ƩL" = "ƩD"/"tanθ"`

Example

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

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Sum of Latitudes given Direction of Closing Error Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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).
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.

STEP 1: Convert Input(s) to Base Unit

Sum of Departures: 30 Meter --> 30 Meter No Conversion Required
Direction of Closing Error: 0.75 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ƩL = ƩD/tanθ --> 30/0.75

Evaluating ... ...

ƩL = 40

STEP 3: Convert Result to Output's Unit

40 Meter --> No Conversion Required

FINAL ANSWER

40 Meter <-- Sum of Latitudes

(Calculation completed in 00.004 seconds)

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Created by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

Chandana P Dev has created this Calculator and 500+ more calculators!

Verified by Ishita Goyal

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 Latitudes given Direction of Closing Error Formula

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

What is Open Traversing?

In an open traverse, methods to check the measurements as a whole are not available. The linear errors cannot be found but the angular errors are found using various techniques like, cut-off lines, well-defined point and astronomical observations.

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

Sum of Latitudes given Direction of Closing Error calculator uses Sum of Latitudes = Sum of Departures/Direction of Closing Error to calculate the Sum of Latitudes, The Sum of Latitudes given Direction of Closing Error is defined as the projected line from the considered line to the north-south line or direction. Sum of Latitudes is denoted by ƩL symbol.

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

FAQ

What is Sum of Latitudes given Direction of Closing Error?

The Sum of Latitudes given Direction of Closing Error is defined as the projected line from the considered line to the north-south line or direction and is represented as ƩL = ƩD/tanθ or Sum of Latitudes = Sum of Departures/Direction of Closing Error. 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 is the ratio of departure to latitudes.

How to calculate Sum of Latitudes given Direction of Closing Error?

The Sum of Latitudes given Direction of Closing Error is defined as the projected line from the considered line to the north-south line or direction is calculated using Sum of Latitudes = Sum of Departures/Direction of Closing Error. To calculate Sum of Latitudes given Direction of Closing Error, you need Sum of Departures (ƩD) & Direction of Closing Error (tanθ). With our tool, you need to enter the respective value for Sum of Departures & Direction of Closing Error 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 Latitudes?

In this formula, Sum of Latitudes uses Sum of Departures & Direction of Closing Error. We can use 1 other way(s) to calculate the same, which is/are as follows -

Sum of Latitudes = sqrt(Closing Error^2-Sum of Departures^2)

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