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Sum of Departures given Closing Error Formula

GoSum of Departure given Direction of Closing Error Formula

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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. Check FAQs

ƩD = \sqrt{e^{2} - {ƩL}^{2}}

ƩD - Sum of Departures?e - Closing Error?ƩL - Sum of Latitudes?

Sum of Departures given Closing Error Example

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Here is how the Sum of Departures given Closing Error equation looks like with Values.

Here is how the Sum of Departures given Closing Error equation looks like with Units.

Here is how the Sum of Departures given Closing Error equation looks like.

30 = \sqrt{50^{2} - 40^{2}}

30m = \sqrt{{50m}^{2} - {40m}^{2}}

30 = \sqrt{50^{2} - 40^{2}}

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Sum of Departures given Closing Error Solution

Follow our step by step solution on how to calculate Sum of Departures given Closing Error?

FIRST Step Consider the formula

ƩD = \sqrt{e^{2} - {ƩL}^{2}}

Next Step Substitute values of Variables

∴

ƩD = \sqrt{{50m}^{2} - {40m}^{2}}

Next Step Prepare to Evaluate

∴

ƩD = \sqrt{50^{2} - 40^{2}}

LAST Step Evaluate

∴

ƩD = 30m

Sum of Departures given Closing Error Formula Elements

Variables

Functions

Sum of Departures

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.

Symbol: ƩD

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Sum of Departures

Closing Error

Closing Error is the error formed during traverse surveying.

Symbol: e

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Closing Error

Sum of 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).

Symbol: ƩL

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Sum of Latitudes

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.

Syntax: sqrt(Number)

Other Formulas to find Sum of Departures

Go Sum of Departure given Direction of Closing Error

ƩD = tanθ \cdot ƩL

Other formulas in Traversing category

Go Closing Error in Traversing

e = \sqrt{{ƩL}^{2} + {ƩD}^{2}}

Go Direction of Closing Error in Traversing

tanθ = \frac{ƩD}{ƩL}

Go Sum of Latitudes given Closing Error

ƩL = \sqrt{e^{2} - {ƩD}^{2}}

Go Sum of Latitudes given Direction of Closing Error

ƩL = \frac{ƩD}{tanθ}

How to Evaluate Sum of Departures given Closing Error?

Sum of Departures given Closing Error evaluator uses Sum of Departures = sqrt(Closing Error^2-Sum of Latitudes^2) to evaluate 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 evaluate Sum of Departures given Closing Error using this online evaluator? To use this online evaluator for Sum of Departures given Closing Error, enter Closing Error (e) & Sum of Latitudes (ƩL) and hit the calculate button.

FAQs on Sum of Departures given Closing Error

What is the formula to find Sum of Departures given Closing Error?

The formula of Sum of Departures given Closing Error is expressed as Sum of Departures = sqrt(Closing Error^2-Sum of Latitudes^2). Here is an example- 30 = sqrt(50^2-40^2).

How to calculate Sum of Departures given Closing Error?

With Closing Error (e) & Sum of Latitudes (ƩL) we can find Sum of Departures given Closing Error using the formula - Sum of Departures = sqrt(Closing Error^2-Sum of Latitudes^2). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Sum of Departures?

Here are the different ways to Calculate Sum of Departures-

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

Can the Sum of Departures given Closing Error be negative?

No, the Sum of Departures given Closing Error, measured in Length cannot be negative.

Which unit is used to measure Sum of Departures given Closing Error?

Sum of Departures given Closing Error is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Sum of Departures given Closing Error can be measured.

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Sum of Departures given Closing Error Formula

​GoSum of Departure given Direction of Closing Error Formula

Sum of Departures given Closing Error Example

Sum of Departures given Closing Error Solution

Sum of Departures given Closing Error Formula Elements

Other Formulas to find Sum of Departures

Other formulas in Traversing category

How to Evaluate Sum of Departures given Closing Error?

FAQs on Sum of Departures given Closing Error

Variable Name

GoSum of Departure given Direction of Closing Error Formula