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

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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. Check FAQs
θ,=β+α
θ, - Included Angle when Bearings are in Opposite Side?β - Back Bearing of Previous Line?α - Fore Bearing of Previous Line?

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

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Here is how the Included Angle when Bearings are Measured in Opposite Side of Common Meridian equation looks like with Values.

Here is how the Included Angle when Bearings are Measured in Opposite Side of Common Meridian equation looks like with Units.

Here is how the Included Angle when Bearings are Measured in Opposite Side of Common Meridian equation looks like.

120Edit=30Edit+90Edit
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Included Angle when Bearings are Measured in Opposite Side of Common Meridian Solution

Follow our step by step solution on how to calculate Included Angle when Bearings are Measured in Opposite Side of Common Meridian?

FIRST Step Consider the formula
θ,=β+α
Next Step Substitute values of Variables
∴ θ,=30°+90°
Next Step Convert Units
∴ θ,=0.5236rad+1.5708rad
Next Step Prepare to Evaluate
∴ θ,=0.5236+1.5708
Next Step Evaluate
∴θ,=2.0943951023928rad
LAST Step Convert to Output's Unit
∴θ,=120°

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

Variables
Included Angle when Bearings are in Opposite Side
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.
Symbol: θ,
Measurement: AngleUnit: °
Note: Value should be greater than 0.
Formulas to find Included Angle when Bearings are in Opposite SideOpen Variable
Back Bearing of Previous Line
Back Bearing of Previous Line is the back bearing measured during compass survey for the line behind the compass.
Symbol: β
Measurement: AngleUnit: °
Note: Value should be greater than 0.
Formulas to find Back Bearing of Previous LineOpen Variable
Fore Bearing of Previous Line
Fore Bearing of Previous Line is the forward bearing measured for the line along the survey direction.
Symbol: α
Measurement: AngleUnit: °
Note: Value should be greater than 0.
Formulas to find Fore Bearing of Previous LineOpen Variable

Other formulas in Compass Surveying category

​Go Fore Bearing in Whole Circle Bearing System
FB=(BB-(180⋅π180))
​Go Included Angle from Two Lines
θ=α-β
​Go Included Angle when Bearings are Measured in Same Side of Different Meridian
θ=(180⋅π180)-(α+β)
​Go True Bearing if Declination is in East
TB=MB+MD

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

Included Angle when Bearings are Measured in Opposite Side of Common Meridian evaluator uses Included Angle when Bearings are in Opposite Side = Back Bearing of Previous Line+Fore Bearing of Previous Line to evaluate 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 evaluate Included Angle when Bearings are Measured in Opposite Side of Common Meridian using this online evaluator? To use this online evaluator 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.

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

What is the formula to find Included Angle when Bearings are Measured in Opposite Side of Common Meridian?
The formula of Included Angle when Bearings are Measured in Opposite Side of Common Meridian is expressed as Included Angle when Bearings are in Opposite Side = Back Bearing of Previous Line+Fore Bearing of Previous Line. Here is an example- 6875.494 = 0.5235987755982+1.5707963267946.
How to calculate Included Angle when Bearings are Measured in Opposite Side of Common Meridian?
With Back Bearing of Previous Line (β) & Fore Bearing of Previous Line (α) we can find Included Angle when Bearings are Measured in Opposite Side of Common Meridian using the formula - Included Angle when Bearings are in Opposite Side = Back Bearing of Previous Line+Fore Bearing of Previous Line.
Can the Included Angle when Bearings are Measured in Opposite Side of Common Meridian be negative?
No, the Included Angle when Bearings are Measured in Opposite Side of Common Meridian, measured in Angle cannot be negative.
Which unit is used to measure Included Angle when Bearings are Measured in Opposite Side of Common Meridian?
Included Angle when Bearings are Measured in Opposite Side of Common Meridian is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Included Angle when Bearings are Measured in Opposite Side of Common Meridian can be measured.
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