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Height of Instrument Formula

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Height of instrument is the vertical distance from the surface of earth to the collimation plane. It is also called as height of plane of collimation. Check FAQs
HI=RL+BS
HI - Height of Instrument?RL - Reduced Level?BS - Back Sight?

Height of Instrument Example

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With units
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Here is how the Height of Instrument equation looks like with Values.

Here is how the Height of Instrument equation looks like with Units.

Here is how the Height of Instrument equation looks like.

49Edit=29Edit+20Edit
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HomeIcon Home » Category Engineering » Category Civil » Category Surveying Formulas » fx Height of Instrument

Height of Instrument Solution

Follow our step by step solution on how to calculate Height of Instrument?

FIRST Step Consider the formula
HI=RL+BS
Next Step Substitute values of Variables
∴ HI=29m+20m
Next Step Prepare to Evaluate
∴ HI=29+20
LAST Step Evaluate
∴HI=49m

Height of Instrument Formula Elements

Variables
Height of Instrument
Height of instrument is the vertical distance from the surface of earth to the collimation plane. It is also called as height of plane of collimation.
Symbol: HI
Measurement: LengthUnit: m
Note: Value can be positive or negative.
Formulas to find Height of InstrumentOpen Variable
Reduced Level
Reduced level is the vertical distance between a survey point and the adopted level datum.
Symbol: RL
Measurement: LengthUnit: m
Note: Value can be positive or negative.
Formulas to find Reduced LevelOpen Variable
Back Sight
Back Sight is the sight or reading taken towards the back or towards a known elevation.
Symbol: BS
Measurement: LengthUnit: m
Note: Value can be positive or negative.
Formulas to find Back SightOpen Variable

Other formulas in Levelling category

​Go Distance between Two points under Curvature and Refraction
D=(2⋅R⋅c+(c2))12
​Go Distance for small errors under Curvature and Refraction
D=2⋅R⋅c
​Go Error Due to Curvature Effect
c=D22⋅R
​Go Combined Error Due to Curvature and Refraction
c_r=0.0673⋅D2

How to Evaluate Height of Instrument?

Height of Instrument evaluator uses Height of Instrument = Reduced Level+Back Sight to evaluate the Height of Instrument, The Height of Instrument is taken as the vertical distance of the instrument from the surface of earth. It is also taken as the height of the plane of collimation. Height of Instrument is denoted by HI symbol.

How to evaluate Height of Instrument using this online evaluator? To use this online evaluator for Height of Instrument, enter Reduced Level (RL) & Back Sight (BS) and hit the calculate button.

FAQs on Height of Instrument

What is the formula to find Height of Instrument?
The formula of Height of Instrument is expressed as Height of Instrument = Reduced Level+Back Sight. Here is an example- 49 = 29+20.
How to calculate Height of Instrument?
With Reduced Level (RL) & Back Sight (BS) we can find Height of Instrument using the formula - Height of Instrument = Reduced Level+Back Sight.
Can the Height of Instrument be negative?
Yes, the Height of Instrument, measured in Length can be negative.
Which unit is used to measure Height of Instrument?
Height of Instrument is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Height of Instrument can be measured.
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