Sum of Departures given Closing Error Calculator

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

✖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 given Closing Error [ƩD]

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Sum of Departures given Closing Error Solution

STEP 0: Pre-Calculation Summary

Formula Used

Sum of Departures = sqrt(Closing Error^2-Sum of Latitudes^2)
ƩD = sqrt(e^2-ƩL^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 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.
Closing Error - (Measured in Meter) - Closing Error is the error formed during traverse surveying.
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

Closing Error: 50 Meter --> 50 Meter No Conversion Required
Sum of Latitudes: 40 Meter --> 40 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ƩD = sqrt(e^2-ƩL^2) --> sqrt(50^2-40^2)

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 00.020 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!

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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 Departures given Closing Error Formula

LaTeX Go

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

What is Closed Traversing?

A traverse is said to be a closed one if it returns to the starting point, thereby forming a closed polygon. In addition, a traverse which begins and ends at the points whose positions on the plan are known is also referred to as a closed traverse.

How to Calculate Sum of Departures given Closing Error?

Sum of Departures given Closing Error calculator uses Sum of Departures = sqrt(Closing Error^2-Sum of Latitudes^2) to calculate the Sum of Departures, The Sum of Departures given Closing Error is defined as the projection of line from the line considered to the east west direction. Sum of Departures is denoted by ƩD symbol.

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

FAQ

What is Sum of Departures given Closing Error?

The Sum of Departures given Closing Error is defined as the projection of line from the line considered to the east west direction and is represented as ƩD = sqrt(e^2-ƩL^2) or Sum of Departures = sqrt(Closing Error^2-Sum of Latitudes^2). Closing Error is the error formed during traverse surveying & 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 Departures given Closing Error?

The Sum of Departures given Closing Error is defined as the projection of line from the line considered to the east west direction is calculated using Sum of Departures = sqrt(Closing Error^2-Sum of Latitudes^2). To calculate Sum of Departures given Closing Error, you need Closing Error (e) & Sum of Latitudes (ƩL). With our tool, you need to enter the respective value for 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 Closing Error & Sum of Latitudes. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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