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Sum of Departure given Direction of Closing Error Formula

GoSum of Departures given 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 = tanθ \cdot ƩL

ƩD - Sum of Departures?tanθ - Direction of Closing Error?ƩL - Sum of Latitudes?

Sum of Departure given Direction of Closing Error Example

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

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

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

30 = 0.75 \cdot 40

30m = 0.75 \cdot 40m

30 = 0.75 \cdot 40

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Sum of Departure given Direction of Closing Error Solution

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

FIRST Step Consider the formula

ƩD = tanθ \cdot ƩL

Next Step Substitute values of Variables

∴

ƩD = 0.75 \cdot 40m

Next Step Prepare to Evaluate

∴

ƩD = 0.75 \cdot 40

LAST Step Evaluate

∴

ƩD = 30m

Sum of Departure given Direction of Closing Error Formula Elements

Variables

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

Direction of Closing Error

Direction of closing error is the ratio of departure to latitudes.

Symbol: tanθ

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Direction of 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

Other Formulas to find Sum of Departures

Go Sum of Departures given Closing Error

ƩD = \sqrt{e^{2} - {ƩL}^{2}}

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 Departure given Direction of Closing Error?

Sum of Departure given Direction of Closing Error evaluator uses Sum of Departures = Direction of Closing Error*Sum of Latitudes to evaluate the Sum of Departures, The Sum of Departure given Direction of Closing Error is defined as the line projected from the considered line towards the east or west direction. Sum of Departures is denoted by ƩD symbol.

How to evaluate Sum of Departure given Direction of Closing Error using this online evaluator? To use this online evaluator for Sum of Departure given Direction of Closing Error, enter Direction of Closing Error (tanθ) & Sum of Latitudes (ƩL) and hit the calculate button.

FAQs on Sum of Departure given Direction of Closing Error

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

The formula of Sum of Departure given Direction of Closing Error is expressed as Sum of Departures = Direction of Closing Error*Sum of Latitudes. Here is an example- 30 = 0.75*40.

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

With Direction of Closing Error (tanθ) & Sum of Latitudes (ƩL) we can find Sum of Departure given Direction of Closing Error using the formula - Sum of Departures = Direction of Closing Error*Sum of Latitudes.

What are the other ways to Calculate Sum of Departures?

Here are the different ways to Calculate Sum of Departures-

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

Can the Sum of Departure given Direction of Closing Error be negative?

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

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

Sum of Departure given Direction of 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 Departure given Direction of Closing Error can be measured.

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