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

✖Distance between points is the actual distance from one point to the other.ⓘ Distance between Points [D_p]			+10% -10%
✖Measured angle is the angle made by the instrument when sighted to the other point in elevation or depression.ⓘ Measured Angle [M]			+10% -10%
✖Height of point A is the vertical distance of the instrument placed on point A.ⓘ Height of point A [h_i]			+10% -10%
✖Height of point B is the vertical distance of the instrument placed on point B.ⓘ Height of point B [h_t]			+10% -10%

✖Elevation difference is the height difference in the two points given or specified.ⓘ Difference in Elevation between Ground Points in short lines under Trigonometric levelling [Δh]

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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 = D_p*sin(M)+h_i-h_t
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 = D_p*sin(M)+h_i-h_t --> 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)

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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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Distance between Two points under Curvature and Refraction

LaTeX 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

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

Error Due to Curvature Effect

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

Combined Error Due to Curvature and Refraction

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

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

LaTeX Go

Elevation Difference = Distance between Points*sin(Measured Angle)+Height of point A-Height of point B
Δh = D_p*sin(M)+h_i-h_t

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 (D_p), Measured Angle (M), Height of point A (h_i) & Height of point B (h_t) 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 = D_p*sin(M)+h_i-h_t 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 (D_p), Measured Angle (M), Height of point A (h_i) & Height of point B (h_t). 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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