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

✖Back Bearing of Previous Line is the back bearing measured during compass survey for the line behind the compass.ⓘ Back Bearing of Previous Line [β]			+10% -10%
✖Fore Bearing of Previous Line is the forward bearing measured for the line along the survey direction.ⓘ Fore Bearing of Previous Line [α]			+10% -10%

✖Included Angle when Bearings are in Opposite Side is the angle formed between two survey lines when the bearings of these lines are on opposite sides of a reference meridian.ⓘ Included Angle when Bearings are Measured in Opposite Side of Common Meridian [θ^,]

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

STEP 0: Pre-Calculation Summary

Formula Used

Included Angle when Bearings are in Opposite Side = Back Bearing of Previous Line+Fore Bearing of Previous Line
θ^, = β+α
This formula uses 3 Variables

Variables Used

Included Angle when Bearings are in Opposite Side - (Measured in Radian) - Included Angle when Bearings are in Opposite Side is the angle formed between two survey lines when the bearings of these lines are on opposite sides of a reference meridian.
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 when Bearings are in Opposite Side

(Calculation completed in 00.005 seconds)

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Created by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

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Meerut Institute of Engineering and Technology (MIET), Meerut

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< Compass Surveying Calculators

Included Angle when Bearings are Measured in Same Side of Different Meridian

LaTeX 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

LaTeX Go Included Angle when Bearings are in Opposite Side = Back Bearing of Previous Line+Fore Bearing of Previous Line

Included Angle from Two Lines

LaTeX Go Included Angle = Fore Bearing of Previous Line-Back Bearing of Previous Line

Fore Bearing in Whole Circle Bearing System

LaTeX Go Fore Bearing = (Back Bearing-(180*pi/180))

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

LaTeX Go

Included Angle when Bearings are in Opposite Side = 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 when Bearings are in Opposite Side = Back Bearing of Previous Line+Fore Bearing of Previous Line to calculate the Included Angle when Bearings are in Opposite Side, 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 when Bearings are in Opposite Side 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 when Bearings are in Opposite Side = 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 when Bearings are in Opposite Side = 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.

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