Sum of Latitudes given Direction of Closing Error Solution

STEP 0: Pre-Calculation Summary
Formula Used
Sum of Latitudes = Sum of Departures/Direction of Closing Error
ƩL = ƩD/tanθ
This formula uses 3 Variables
Variables Used
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).
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.
Direction of Closing Error - Direction of closing error is the ratio of departure to latitudes.
STEP 1: Convert Input(s) to Base Unit
Sum of Departures: 30 Meter --> 30 Meter No Conversion Required
Direction of Closing Error: 0.75 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ƩL = ƩD/tanθ --> 30/0.75
Evaluating ... ...
ƩL = 40
STEP 3: Convert Result to Output's Unit
40 Meter --> No Conversion Required
FINAL ANSWER
40 Meter <-- Sum of Latitudes
(Calculation completed in 00.004 seconds)

Credits

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Created by Chandana P Dev
NSS College of Engineering (NSSCE), Palakkad
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Verified by Ishita Goyal
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 Latitudes given Direction of Closing Error Formula

​LaTeX ​Go
Sum of Latitudes = Sum of Departures/Direction of Closing Error
ƩL = ƩD/tanθ

What is Open Traversing?

In an open traverse, methods to check the measurements as a whole are not available. The linear errors cannot be found but the angular errors are found using various techniques like, cut-off lines, well-defined point and astronomical observations.

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

Sum of Latitudes given Direction of Closing Error calculator uses Sum of Latitudes = Sum of Departures/Direction of Closing Error to calculate 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 calculate Sum of Latitudes given Direction of Closing Error using this online calculator? To use this online calculator for Sum of Latitudes given Direction of Closing Error, enter Sum of Departures (ƩD) & Direction of Closing Error (tanθ) and hit the calculate button. Here is how the Sum of Latitudes given Direction of Closing Error calculation can be explained with given input values -> 40 = 30/0.75.

FAQ

What is Sum of Latitudes given Direction of Closing Error?
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 and is represented as ƩL = ƩD/tanθ or Sum of Latitudes = Sum of Departures/Direction of Closing Error. 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 & Direction of closing error is the ratio of departure to latitudes.
How to calculate Sum of Latitudes given Direction of Closing Error?
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 is calculated using Sum of Latitudes = Sum of Departures/Direction of Closing Error. To calculate Sum of Latitudes given Direction of Closing Error, you need Sum of Departures (ƩD) & Direction of Closing Error (tanθ). With our tool, you need to enter the respective value for Sum of Departures & Direction of Closing Error 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 Latitudes?
In this formula, Sum of Latitudes uses Sum of Departures & Direction of Closing Error. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Sum of Latitudes = sqrt(Closing Error^2-Sum of Departures^2)
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