✖Distance between Two Points is defined as the length of space between two points. For finding the distance when curvature effects are considered, the value must be considered in kilometres.ⓘ Distance between Two Points [D]

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✖Height of observer is the length or vertical length of the observer.ⓘ Height of Observer [h]

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Formula

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Height of Observer

Formula

`"h" = 0.0673*"D"^2`

Example

`"84.81482m"=0.0673*("35.5m")^2`

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Height of Observer Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of Observer = 0.0673*Distance between Two Points^2
h = 0.0673*D^2
This formula uses 2 Variables

Variables Used

Height of Observer - (Measured in Meter) - Height of observer is the length or vertical length of the observer.
Distance between Two Points - (Measured in Meter) - Distance between Two Points is defined as the length of space between two points. For finding the distance when curvature effects are considered, the value must be considered in kilometres.

STEP 1: Convert Input(s) to Base Unit

Distance between Two Points: 35.5 Meter --> 35.5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h = 0.0673*D^2 --> 0.0673*35.5^2

Evaluating ... ...

h = 84.814825

STEP 3: Convert Result to Output's Unit

84.814825 Meter --> No Conversion Required

FINAL ANSWER

84.814825 ≈ 84.81482 Meter <-- Height of Observer

(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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Meerut Institute of Engineering and Technology (MIET), Meerut

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< 17 Levelling Calculators

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Go Elevation Difference = Distance between Points*sin(Measured Angle)+Height of point A-Height of point B

Distance between Two points under Curvature and Refraction

Go Distance between Two Points = (2*Earth Radius in km*Error due to Curvature+(Error due to Curvature^2))^(1/2)

Distance for small errors under Curvature and Refraction

Go Distance between Two Points = sqrt(2*Earth Radius in km*Error due to Curvature)

Angle of Dip for Compass Surveying

Go Dip Angle = Distance between Two Points/Earth Radius in km*(180/pi)

Error Due to Curvature Effect

Go Error due to Curvature = Distance between Two Points^2/(2*Earth Radius in km)

Distance to Visible Horizon

Go Distance between Two Points = sqrt(Height of Observer/0.0673)

Permissible Closing Error for Rough Levelling

Go Closing Error = 100*sqrt(Distance between Two Points)

Permissible Closing Error for Ordinary Levelling

Go Closing Error = 24*sqrt(Distance between Two Points)

Permissible Closing Error for Accurate Levelling

Go Closing Error = 12*sqrt(Distance between Two Points)

Permissible Closing Error for Precise Levelling

Go Closing Error = 4*sqrt(Distance between Two Points)

Reduced Level given Height of Instrument

Go Reduced Level = Height of Instrument-Back Sight

Back Sight given Height of Instrument

Go Back Sight = Height of Instrument-Reduced Level

Height of Instrument

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Correction on Refraction Error

Go Refraction Correction = 0.0112*Distance between Two Points^2

Height of Observer

Go Height of Observer = 0.0673*Distance between Two Points^2

Combined Error Due to Curvature and Refraction

Go Combined Error = 0.0673*Distance between Two Points^2

Height of Observer Formula

Height of Observer = 0.0673*Distance between Two Points^2
h = 0.0673*D^2

What is Visible Horizon?

It is the line at which the sky and Earth appear to meet. it is also called a visual horizon or an apparent horizon.

How to Calculate Height of Observer?

Height of Observer calculator uses Height of Observer = 0.0673*Distance between Two Points^2 to calculate the Height of Observer, The Height of Observer is the vertical distance or length of the observer. The distance described here is the distance to visible horizon. Height of Observer is denoted by h symbol.

How to calculate Height of Observer using this online calculator? To use this online calculator for Height of Observer, enter Distance between Two Points (D) and hit the calculate button. Here is how the Height of Observer calculation can be explained with given input values -> 84.81482 = 0.0673*35.5^2.

FAQ

What is Height of Observer?

The Height of Observer is the vertical distance or length of the observer. The distance described here is the distance to visible horizon and is represented as h = 0.0673*D^2 or Height of Observer = 0.0673*Distance between Two Points^2. Distance between Two Points is defined as the length of space between two points. For finding the distance when curvature effects are considered, the value must be considered in kilometres.

How to calculate Height of Observer?

The Height of Observer is the vertical distance or length of the observer. The distance described here is the distance to visible horizon is calculated using Height of Observer = 0.0673*Distance between Two Points^2. To calculate Height of Observer, you need Distance between Two Points (D). With our tool, you need to enter the respective value for Distance between Two Points 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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