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

STEP 0: Pre-Calculation Summary
Formula Used
Elevation Difference = Distance between Points*sin(Measured Angle)+Height of point A-Height of point B
Δh = Dp*sin(M)+hi-ht
This formula uses 1 Functions, 5 Variables
Functions Used
sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)
Variables Used
Elevation Difference - (Measured in Meter) - Elevation difference is the height difference in the two points given or specified.
Distance between Points - (Measured in Meter) - Distance between points is the actual distance from one point to the other.
Measured Angle - (Measured in Radian) - Measured angle is the angle made by the instrument when sighted to the other point in elevation or depression.
Height of point A - (Measured in Meter) - Height of point A is the vertical distance of the instrument placed on point A.
Height of point B - (Measured in Meter) - Height of point B is the vertical distance of the instrument placed on point B.
STEP 1: Convert Input(s) to Base Unit
Distance between Points: 80 Meter --> 80 Meter No Conversion Required
Measured Angle: 37 Degree --> 0.64577182323778 Radian (Check conversion here)
Height of point A: 22 Meter --> 22 Meter No Conversion Required
Height of point B: 19.5 Meter --> 19.5 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Δh = Dp*sin(M)+hi-ht --> 80*sin(0.64577182323778)+22-19.5
Evaluating ... ...
Δh = 50.6452018521561
STEP 3: Convert Result to Output's Unit
50.6452018521561 Meter --> No Conversion Required
FINAL ANSWER
50.6452018521561 50.6452 Meter <-- Elevation Difference
(Calculation completed in 00.020 seconds)

Credits

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NSS College of Engineering (NSSCE), Palakkad
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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

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

Elevation Difference = Distance between Points*sin(Measured Angle)+Height of point A-Height of point B
Δh = Dp*sin(M)+hi-ht

What is Trigonometric Levelling?

Trigonometrical levelling is used where difficult terrain, such as mountainous areas, precludes the use of conventional differential levelling. It may also be used where the height difference is large but the horizontal distance is short such as heighting up a cliff or a tall building. The vertical angle and the slope distance between the two points concerned are measured.

How to Calculate Difference in Elevation between Ground Points in short lines under Trigonometric levelling?

Difference in Elevation between Ground Points in short lines under Trigonometric levelling calculator uses Elevation Difference = Distance between Points*sin(Measured Angle)+Height of point A-Height of point B to calculate the Elevation Difference, Difference in Elevation between Ground Points in short lines under Trigonometric levelling is defined for a situation where elevation difference need to be found when two points, say, A and B are considered. A is a point in the lower ground and B at a greater elevation. Elevation Difference is denoted by Δh symbol.

How to calculate Difference in Elevation between Ground Points in short lines under Trigonometric levelling using this online calculator? To use this online calculator for Difference in Elevation between Ground Points in short lines under Trigonometric levelling, enter Distance between Points (Dp), Measured Angle (M), Height of point A (hi) & Height of point B (ht) and hit the calculate button. Here is how the Difference in Elevation between Ground Points in short lines under Trigonometric levelling calculation can be explained with given input values -> 50.6452 = 80*sin(0.64577182323778)+22-19.5.

FAQ

What is Difference in Elevation between Ground Points in short lines under Trigonometric levelling?
Difference in Elevation between Ground Points in short lines under Trigonometric levelling is defined for a situation where elevation difference need to be found when two points, say, A and B are considered. A is a point in the lower ground and B at a greater elevation and is represented as Δh = Dp*sin(M)+hi-ht or Elevation Difference = Distance between Points*sin(Measured Angle)+Height of point A-Height of point B. Distance between points is the actual distance from one point to the other, Measured angle is the angle made by the instrument when sighted to the other point in elevation or depression, Height of point A is the vertical distance of the instrument placed on point A & Height of point B is the vertical distance of the instrument placed on point B.
How to calculate Difference in Elevation between Ground Points in short lines under Trigonometric levelling?
Difference in Elevation between Ground Points in short lines under Trigonometric levelling is defined for a situation where elevation difference need to be found when two points, say, A and B are considered. A is a point in the lower ground and B at a greater elevation is calculated using Elevation Difference = Distance between Points*sin(Measured Angle)+Height of point A-Height of point B. To calculate Difference in Elevation between Ground Points in short lines under Trigonometric levelling, you need Distance between Points (Dp), Measured Angle (M), Height of point A (hi) & Height of point B (ht). With our tool, you need to enter the respective value for Distance between Points, Measured Angle, Height of point A & Height of point B 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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