Distance to Visible Horizon Calculator

✖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 to Visible Horizon [D]

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Formula

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Distance to Visible Horizon

Formula

`"D" = sqrt("h"/0.0673)`

Example

`"35.53873m"=sqrt("85m"/0.0673)`

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Distance to Visible Horizon Solution

STEP 0: Pre-Calculation Summary

Formula Used

Distance between Two Points = sqrt(Height of Observer/0.0673)
D = sqrt(h/0.0673)
This formula uses 1 Functions, 2 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

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.
Height of Observer - (Measured in Meter) - Height of observer is the length or vertical length of the observer.

STEP 1: Convert Input(s) to Base Unit

Height of Observer: 85 Meter --> 85 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D = sqrt(h/0.0673) --> sqrt(85/0.0673)

Evaluating ... ...

D = 35.5387321929765

STEP 3: Convert Result to Output's Unit

35.5387321929765 Meter --> No Conversion Required

FINAL ANSWER

35.5387321929765 ≈ 35.53873 Meter <-- Distance between Two Points

(Calculation completed in 00.004 seconds)

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Credits

Created by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

Chandana P Dev has created this Calculator and 500+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

Ishita Goyal has verified this Calculator and 2600+ more calculators!

< 17 Levelling Calculators

Difference in Elevation between Two Points using Barometric Levelling

Go Distance between Points = 18336.6*(log10(Height of point A)-log10(Height of point B))*(1+(Temperature at Lower Ground Level+Temperature at Higher level)/500)

Difference in Elevation between Ground Points in short lines under Trigonometric levelling

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

Go Height of Instrument = Reduced Level+Back Sight

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

Distance to Visible Horizon Formula

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

Why does the Distance to the Visible Horizon depend on the Observer's Height above Sea Level?

The distance to the visible horizon depends on the curvature of the Earth's surface. As the observer's height above sea level increases, they are able to see over more of the Earth's curvature, increasing the distance to the visible horizon. Conversely, the lower the observer's height above sea level, the less of the Earth's curvature they can see, and the shorter the distance to the visible horizon.

How to Calculate Distance to Visible Horizon?

Distance to Visible Horizon calculator uses Distance between Two Points = sqrt(Height of Observer/0.0673) to calculate the Distance between Two Points, Distance to Visible Horizon is distance considered as length up to visible horizon. Visible horizon is line where earth and sky appear to meet. Distance between Two Points is denoted by D symbol.

How to calculate Distance to Visible Horizon using this online calculator? To use this online calculator for Distance to Visible Horizon, enter Height of Observer (h) and hit the calculate button. Here is how the Distance to Visible Horizon calculation can be explained with given input values -> 35.53873 = sqrt(85/0.0673).

FAQ

What is Distance to Visible Horizon?

Distance to Visible Horizon is distance considered as length up to visible horizon. Visible horizon is line where earth and sky appear to meet and is represented as D = sqrt(h/0.0673) or Distance between Two Points = sqrt(Height of Observer/0.0673). Height of observer is the length or vertical length of the observer.

How to calculate Distance to Visible Horizon?

Distance to Visible Horizon is distance considered as length up to visible horizon. Visible horizon is line where earth and sky appear to meet is calculated using Distance between Two Points = sqrt(Height of Observer/0.0673). To calculate Distance to Visible Horizon, you need Height of Observer (h). With our tool, you need to enter the respective value for Height of Observer 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 Distance between Two Points?

In this formula, Distance between Two Points uses Height of Observer. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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