Sum of Latitudes given Closing Error Calculator

✖Closing Error is the error formed during traverse surveying.ⓘ Closing Error [e]			+10% -10%
✖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 given Closing Error [ƩL]

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Sum of Latitudes given Closing Error Solution

STEP 0: Pre-Calculation Summary

Formula Used

Sum of Latitudes = sqrt(Closing Error^2-Sum of Departures^2)
ƩL = sqrt(e^2-ƩD^2)
This formula uses 1 Functions, 3 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

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).
Closing Error - (Measured in Meter) - Closing Error is the error formed during traverse surveying.
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.

STEP 1: Convert Input(s) to Base Unit

Closing Error: 50 Meter --> 50 Meter No Conversion Required
Sum of Departures: 30 Meter --> 30 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ƩL = sqrt(e^2-ƩD^2) --> sqrt(50^2-30^2)

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 00.020 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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< Traversing Calculators

Sum of Latitudes given Closing Error

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

Closing Error in Traversing

LaTeX Go Closing Error = sqrt(Sum of Latitudes^2+Sum of Departures^2)

Sum of Latitudes given Direction of Closing Error

LaTeX Go Sum of Latitudes = Sum of Departures/Direction of Closing Error

Direction of Closing Error in Traversing

LaTeX Go Direction of Closing Error = Sum of Departures/Sum of Latitudes

Sum of Latitudes given Closing Error Formula

LaTeX Go

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

What is Balancing a Traverse?

A traverse is balanced by applying correction to latitudes and departures. This is called balancing a traverse. However, it may be noted that balancing a traverse does not in any way improve it; it simply makes the figure geometrically correct.

How to Calculate Sum of Latitudes given Closing Error?

Sum of Latitudes given Closing Error calculator uses Sum of Latitudes = sqrt(Closing Error^2-Sum of Departures^2) to calculate the Sum of Latitudes, The Sum of Latitudes given Closing Error is defined as the algebraic sum of projected line towards north or south direction. Sum of Latitudes is denoted by ƩL symbol.

How to calculate Sum of Latitudes given Closing Error using this online calculator? To use this online calculator for Sum of Latitudes given Closing Error, enter Closing Error (e) & Sum of Departures (ƩD) and hit the calculate button. Here is how the Sum of Latitudes given Closing Error calculation can be explained with given input values -> 40 = sqrt(50^2-30^2).

FAQ

What is Sum of Latitudes given Closing Error?

The Sum of Latitudes given Closing Error is defined as the algebraic sum of projected line towards north or south direction and is represented as ƩL = sqrt(e^2-ƩD^2) or Sum of Latitudes = sqrt(Closing Error^2-Sum of Departures^2). Closing Error is the error formed during traverse surveying & 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.

How to calculate Sum of Latitudes given Closing Error?

The Sum of Latitudes given Closing Error is defined as the algebraic sum of projected line towards north or south direction is calculated using Sum of Latitudes = sqrt(Closing Error^2-Sum of Departures^2). To calculate Sum of Latitudes given Closing Error, you need Closing Error (e) & Sum of Departures (ƩD). With our tool, you need to enter the respective value for Closing Error & Sum of Departures 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 Closing Error & Sum of Departures. We can use 1 other way(s) to calculate the same, which is/are as follows -

Sum of Latitudes = Sum of Departures/Direction of Closing Error

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