Included Angle when Bearings are Measured in Opposite Side of Common Meridian Solution

STEP 0: Pre-Calculation Summary
Formula Used
Included Angle = Back Bearing of Previous Line+Fore Bearing of Previous Line
θ = β+α
This formula uses 3 Variables
Variables Used
Included Angle - (Measured in Radian) - Included angle is the interior angle between two lines considered.
Back Bearing of Previous Line - (Measured in Radian) - Back Bearing of Previous Line is the back bearing measured during compass survey for the line behind the compass.
Fore Bearing of Previous Line - (Measured in Radian) - Fore Bearing of Previous Line is the forward bearing measured for the line along the survey direction.
STEP 1: Convert Input(s) to Base Unit
Back Bearing of Previous Line: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
Fore Bearing of Previous Line: 90 Degree --> 1.5707963267946 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
θ = β+α --> 0.5235987755982+1.5707963267946
Evaluating ... ...
θ = 2.0943951023928
STEP 3: Convert Result to Output's Unit
2.0943951023928 Radian -->120 Degree (Check conversion here)
FINAL ANSWER
120 Degree <-- Included Angle
(Calculation completed in 00.004 seconds)

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Created by Chandana P Dev
NSS College of Engineering (NSSCE), Palakkad
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Included Angle when Bearings are Measured in Same Side of Different Meridian
Go Included Angle = (180*pi/180)-(Fore Bearing of Previous Line+Back Bearing of Previous Line)
Included Angle when Bearings are Measured in Opposite Side of Common Meridian
Go Included Angle = Back Bearing of Previous Line+Fore Bearing of Previous Line
Included Angle from Two Lines
Go Included Angle = Fore Bearing of Previous Line-Back Bearing of Previous Line
Magnetic Bearing given True Bearing with East Declination
Go Magnetic Bearing = True Bearing-Magnetic Declination
Magnetic Bearing given True Bearing with West Declination
Go Magnetic Bearing = True Bearing+Magnetic Declination
True Bearing if Declination is in East
Go True Bearing = Magnetic Bearing+Magnetic Declination
True Bearing if Declination is in West
Go True Bearing = Magnetic Bearing-Magnetic Declination
Magnetic Declination to East
Go Magnetic Declination = True Bearing-Magnetic Bearing
Magnetic Declination to West
Go Magnetic Declination = Magnetic Bearing-True Bearing
Fore Bearing in Whole Circle Bearing System
Go Fore Bearing = (Back Bearing-(180*pi/180))

Included Angle when Bearings are Measured in Opposite Side of Common Meridian Formula

Included Angle = Back Bearing of Previous Line+Fore Bearing of Previous Line
θ = β+α

What are the Advantages of using a Whole Circle Bearing System?

The advantages of using a whole circle bearing system include its simplicity, accuracy, and ease of use in calculations and measurements.

How the Interior Angle is Calculated using Above Equation?

In the process of calculating the included angle, if the value is a negative one, add 360° to get the actual included angle which will be the exterior included angle. When traversing is done anticlockwise, the included angles are interior, whereas in the case of clockwise traversing, these are the exterior ones. These are always measured clockwise from the preceding line to the forward line.

How to Calculate Included Angle when Bearings are Measured in Opposite Side of Common Meridian?

Included Angle when Bearings are Measured in Opposite Side of Common Meridian calculator uses Included Angle = Back Bearing of Previous Line+Fore Bearing of Previous Line to calculate the Included Angle, The Included Angle when Bearings are Measured in Opposite Side of Common Meridian formula is defined as when the line formed is in the first and last quadrant of a 4-quadrant system. Included Angle is denoted by θ symbol.

How to calculate Included Angle when Bearings are Measured in Opposite Side of Common Meridian using this online calculator? To use this online calculator for Included Angle when Bearings are Measured in Opposite Side of Common Meridian, enter Back Bearing of Previous Line (β) & Fore Bearing of Previous Line (α) and hit the calculate button. Here is how the Included Angle when Bearings are Measured in Opposite Side of Common Meridian calculation can be explained with given input values -> 6875.494 = 0.5235987755982+1.5707963267946.

FAQ

What is Included Angle when Bearings are Measured in Opposite Side of Common Meridian?
The Included Angle when Bearings are Measured in Opposite Side of Common Meridian formula is defined as when the line formed is in the first and last quadrant of a 4-quadrant system and is represented as θ = β+α or Included Angle = Back Bearing of Previous Line+Fore Bearing of Previous Line. Back Bearing of Previous Line is the back bearing measured during compass survey for the line behind the compass & Fore Bearing of Previous Line is the forward bearing measured for the line along the survey direction.
How to calculate Included Angle when Bearings are Measured in Opposite Side of Common Meridian?
The Included Angle when Bearings are Measured in Opposite Side of Common Meridian formula is defined as when the line formed is in the first and last quadrant of a 4-quadrant system is calculated using Included Angle = Back Bearing of Previous Line+Fore Bearing of Previous Line. To calculate Included Angle when Bearings are Measured in Opposite Side of Common Meridian, you need Back Bearing of Previous Line (β) & Fore Bearing of Previous Line (α). With our tool, you need to enter the respective value for Back Bearing of Previous Line & Fore Bearing of Previous Line 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 Included Angle?
In this formula, Included Angle uses Back Bearing of Previous Line & Fore Bearing of Previous Line. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Included Angle = Fore Bearing of Previous Line-Back Bearing of Previous Line
  • Included Angle = (180*pi/180)-(Fore Bearing of Previous Line+Back Bearing of Previous Line)
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