Fx Copy
LaTeX Copy
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=ƩDtanθ
ƩL - Sum of Latitudes?ƩD - Sum of Departures?tanθ - Direction of Closing Error?

Sum of Latitudes given Direction of Closing Error Example

With values
With units
Only example

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

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

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

40Edit=30Edit0.75Edit
You are here -
HomeIcon Home » Category Engineering » Category Civil » Category Surveying Formulas » fx Sum of Latitudes given Direction of Closing Error

Sum of Latitudes given Direction of Closing Error Solution

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

FIRST Step Consider the formula
ƩL=ƩDtanθ
Next Step Substitute values of Variables
ƩL=30m0.75
Next Step Prepare to Evaluate
ƩL=300.75
LAST Step Evaluate
ƩL=40m

Sum of Latitudes given Direction of Closing Error Formula Elements

Variables
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.
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.
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.

Other Formulas to find Sum of Latitudes

​Go Sum of Latitudes given Closing Error
ƩL=e2-ƩD2

Other formulas in Traversing category

​Go Closing Error in Traversing
e=ƩL2+ƩD2
​Go Direction of Closing Error in Traversing
tanθ=ƩDƩL
​Go Sum of Departures given Closing Error
ƩD=e2-ƩL2
​Go Sum of Departure given Direction of Closing Error
ƩD=tanθƩL

How to Evaluate Sum of Latitudes given Direction of Closing Error?

Sum of Latitudes given Direction of Closing Error evaluator uses Sum of Latitudes = Sum of Departures/Direction of Closing Error to evaluate the Sum of Latitudes, The Sum of Latitudes given Direction of Closing Error is defined as the projected line from the considered line to the north-south line or direction. Sum of Latitudes is denoted by ƩL symbol.

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

FAQs on Sum of Latitudes given Direction of Closing Error

What is the formula to find Sum of Latitudes given Direction of Closing Error?
The formula of Sum of Latitudes given Direction of Closing Error is expressed as Sum of Latitudes = Sum of Departures/Direction of Closing Error. Here is an example- 40 = 30/0.75.
How to calculate Sum of Latitudes given Direction of Closing Error?
With Sum of Departures (ƩD) & Direction of Closing Error (tanθ) we can find Sum of Latitudes given Direction of Closing Error using the formula - Sum of Latitudes = Sum of Departures/Direction of Closing Error.
What are the other ways to Calculate Sum of Latitudes?
Here are the different ways to Calculate Sum of Latitudes-
  • Sum of Latitudes=sqrt(Closing Error^2-Sum of Departures^2)OpenImg
Can the Sum of Latitudes given Direction of Closing Error be negative?
No, the Sum of Latitudes given Direction of Closing Error, measured in Length cannot be negative.
Which unit is used to measure Sum of Latitudes given Direction of Closing Error?
Sum of Latitudes 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 Latitudes given Direction of Closing Error can be measured.
Copied!