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Sum of Latitudes given Closing Error Formula

GoSum of Latitudes given Direction of Closing Error Formula

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Sum of Latitudes is the algebraic sum of latitudes where latitude of a line is its projection onto the reference meridian (north-south line). Check FAQs

ƩL = \sqrt{e^{2} - {ƩD}^{2}}

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

Sum of Latitudes given Closing Error Example

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

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

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

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

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

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

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Sum of Latitudes given Closing Error Solution

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

FIRST Step Consider the formula

ƩL = \sqrt{e^{2} - {ƩD}^{2}}

Next Step Substitute values of Variables

∴

ƩL = \sqrt{{50m}^{2} - {30m}^{2}}

Next Step Prepare to Evaluate

∴

ƩL = \sqrt{50^{2} - 30^{2}}

LAST Step Evaluate

∴

ƩL = 40m

Sum of Latitudes given Closing Error Formula Elements

Variables

Functions

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

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 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

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 Latitudes

Go Sum of Latitudes given Direction of Closing Error

ƩL = \frac{ƩD}{tanθ}

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 Departures given Closing Error

ƩD = \sqrt{e^{2} - {ƩL}^{2}}

Go Sum of Departure given Direction of Closing Error

ƩD = tanθ \cdot ƩL

How to Evaluate Sum of Latitudes given Closing Error?

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

FAQs on Sum of Latitudes given Closing Error

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

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

How to calculate Sum of Latitudes given Closing Error?

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

What are the other ways to Calculate Sum of Latitudes?

Here are the different ways to Calculate Sum of Latitudes-

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

Can the Sum of Latitudes given Closing Error be negative?

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

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

Sum of Latitudes 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 Latitudes given Closing Error can be measured.

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Sum of Latitudes given Closing Error Formula

​GoSum of Latitudes given Direction of Closing Error Formula

Sum of Latitudes given Closing Error Example

Sum of Latitudes given Closing Error Solution

Sum of Latitudes given Closing Error Formula Elements

Other Formulas to find Sum of Latitudes

Other formulas in Traversing category

How to Evaluate Sum of Latitudes given Closing Error?

FAQs on Sum of Latitudes given Closing Error

Variable Name

GoSum of Latitudes given Direction of Closing Error Formula