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

✖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%
✖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%

✖Included angle is the interior angle between two lines considered.ⓘ Included Angle when Bearings are Measured in Same Side of Different Meridian [θ]

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Formula

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

Formula

`"θ" = (180*pi/180)-("α"+"β")`

Example

`"60°"=(180*pi/180)-("90°"+"30°")`

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

STEP 0: Pre-Calculation Summary

Formula Used

Included Angle = (180*pi/180)-(Fore Bearing of Previous Line+Back Bearing of Previous Line)
θ = (180*pi/180)-(α+β)
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Included Angle - (Measured in Radian) - Included angle is the interior angle between two lines considered.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Fore Bearing of Previous Line: 90 Degree --> 1.5707963267946 Radian (Check conversion here)
Back Bearing of Previous Line: 30 Degree --> 0.5235987755982 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

θ = (180*pi/180)-(α+β) --> (180*pi/180)-(1.5707963267946+0.5235987755982)

Evaluating ... ...

θ = 1.04719755119699

STEP 3: Convert Result to Output's Unit

1.04719755119699 Radian -->60.0000000000339 Degree (Check conversion here)

FINAL ANSWER

60.0000000000339 ≈ 60 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 Same Side of Different Meridian Formula

Included Angle = (180*pi/180)-(Fore Bearing of Previous Line+Back Bearing of Previous Line)
θ = (180*pi/180)-(α+β)

What is Meridian ?

It is the fixed direction in which the bearings of survey lines are expressed. The true meridian passing through a point on the earth’s surface is the line in which a plane passing through south and north poles. Grid meridian is the reference meridian for a country on a national survey map. Magnetic meridian is the direction indicated by a freely suspended and balanced magnetic needle unaffected by local attractive forces.

Arbitrary meridian is any convenient direction, usually from a survey station to some well-defined permanent object.

How to Calculate Included Angle when Bearings are Measured in Same Side of Different Meridian?

Included Angle when Bearings are Measured in Same Side of Different Meridian calculator uses Included Angle = (180*pi/180)-(Fore Bearing of Previous Line+Back Bearing of Previous Line) to calculate the Included Angle, The Included Angle when Bearings are Measured in Same Side of Different Meridian formula is defined as the interior angle determined if the two lines lie on the same side of the common meridian (the vertical separation). Included Angle is denoted by θ symbol.

How to calculate Included Angle when Bearings are Measured in Same Side of Different Meridian using this online calculator? To use this online calculator for Included Angle when Bearings are Measured in Same Side of Different Meridian, enter Fore Bearing of Previous Line (α) & Back Bearing of Previous Line (β) and hit the calculate button. Here is how the Included Angle when Bearings are Measured in Same Side of Different Meridian calculation can be explained with given input values -> 3437.747 = (180*pi/180)-(1.5707963267946+0.5235987755982).

FAQ

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

The Included Angle when Bearings are Measured in Same Side of Different Meridian formula is defined as the interior angle determined if the two lines lie on the same side of the common meridian (the vertical separation) and is represented as θ = (180*pi/180)-(α+β) or Included Angle = (180*pi/180)-(Fore Bearing of Previous Line+Back Bearing of Previous Line). Fore Bearing of Previous Line is the forward bearing measured for the line along the survey direction & Back Bearing of Previous Line is the back bearing measured during compass survey for the line behind the compass.

How to calculate Included Angle when Bearings are Measured in Same Side of Different Meridian?

The Included Angle when Bearings are Measured in Same Side of Different Meridian formula is defined as the interior angle determined if the two lines lie on the same side of the common meridian (the vertical separation) is calculated using Included Angle = (180*pi/180)-(Fore Bearing of Previous Line+Back Bearing of Previous Line). To calculate Included Angle when Bearings are Measured in Same Side of Different Meridian, you need Fore Bearing of Previous Line (α) & Back Bearing of Previous Line (β). With our tool, you need to enter the respective value for Fore Bearing of Previous Line & Back 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 Fore Bearing of Previous Line & Back 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 = Back Bearing of Previous Line+Fore Bearing of Previous Line

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