Horizontal Distance in Slope Measurements Calculator

✖slope Distance is the length of slope from bottom to the top of the slope.ⓘ Slope Distance [L]			+10% -10%
✖Vertical Angle is the angle between horizontal distance and slope distance.ⓘ Vertical Angle [x]			+10% -10%

✖Horizontal Distance denotes the instantaneous horizontal distance cover by an object in a projectile motion.ⓘ Horizontal Distance in Slope Measurements [R]

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Formula

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Horizontal Distance in Slope Measurements

Formula

`"R" = "L"*cos("x")`

Example

`"1.879385m"="2m"*cos("20°")`

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Horizontal Distance in Slope Measurements Solution

STEP 0: Pre-Calculation Summary

Formula Used

Horizontal Distance = Slope Distance*cos(Vertical Angle)
R = L*cos(x)
This formula uses 1 Functions, 3 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

Variables Used

Horizontal Distance - (Measured in Meter) - Horizontal Distance denotes the instantaneous horizontal distance cover by an object in a projectile motion.
Slope Distance - (Measured in Meter) - slope Distance is the length of slope from bottom to the top of the slope.
Vertical Angle - (Measured in Radian) - Vertical Angle is the angle between horizontal distance and slope distance.

STEP 1: Convert Input(s) to Base Unit

Slope Distance: 2 Meter --> 2 Meter No Conversion Required
Vertical Angle: 20 Degree --> 0.3490658503988 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R = L*cos(x) --> 2*cos(0.3490658503988)

Evaluating ... ...

R = 1.87938524157186

STEP 3: Convert Result to Output's Unit

1.87938524157186 Meter --> No Conversion Required

FINAL ANSWER

1.87938524157186 ≈ 1.879385 Meter <-- Horizontal Distance

(Calculation completed in 00.007 seconds)

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Credits

Created by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

Ishita Goyal has created this Calculator and 500+ more calculators!

Verified by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

Chandana P Dev has verified this Calculator and 1700+ more calculators!

< 5 Slope Corrections Calculators

Slope Correction for Slopes Greater than 10 Percent

Go Slope Correction = ((Elevation Difference^2)/(2*Unsupported Length))+(Elevation Difference^4/(8*Unsupported Length^3))

Horizontal Distance in Slope Measurements

Go Horizontal Distance = Slope Distance*cos(Vertical Angle)

Horizontal offset given Slope Correction for Slopes of 10 Percent or Less

Go Difference in Elevation = (2*Unsupported Length*Slope Correction)^(1/2)

Slope Correction for Slopes of 10 Percent or Less

Go Slope Correction = Difference in Elevation^2/(2*Unsupported Length)

Slope Distance given Slope Correction for Slopes of 10 Percent or Less

Go Slope Correction = Elevation Difference^2/(2*Unsupported Length)

Horizontal Distance in Slope Measurements Formula

Horizontal Distance = Slope Distance*cos(Vertical Angle)
R = L*cos(x)

What is Slope and Slope Corrections?

The slope or gradient of a line is a number that describes both the direction and the steepness of the line.
Slope corrections in surveying refer to adjustments made to measured horizontal distances to account for the slope of the ground.

What is the Effect of neglecting Slope Corrections in Surveying?

Neglecting slope corrections in surveying can result in errors in the measured distances and consequently affect the accuracy of the survey. These errors can compound over long distances or on steep slopes.

How to Calculate Horizontal Distance in Slope Measurements?

Horizontal Distance in Slope Measurements calculator uses Horizontal Distance = Slope Distance*cos(Vertical Angle) to calculate the Horizontal Distance, The Horizontal Distance in Slope Measurements formula is defined as the distance between two points measured at a zero percent slope. Horizontal Distance is denoted by R symbol.

How to calculate Horizontal Distance in Slope Measurements using this online calculator? To use this online calculator for Horizontal Distance in Slope Measurements, enter Slope Distance (L) & Vertical Angle (x) and hit the calculate button. Here is how the Horizontal Distance in Slope Measurements calculation can be explained with given input values -> 1.879385 = 2*cos(0.3490658503988).

FAQ

What is Horizontal Distance in Slope Measurements?

The Horizontal Distance in Slope Measurements formula is defined as the distance between two points measured at a zero percent slope and is represented as R = L*cos(x) or Horizontal Distance = Slope Distance*cos(Vertical Angle). slope Distance is the length of slope from bottom to the top of the slope & Vertical Angle is the angle between horizontal distance and slope distance.

How to calculate Horizontal Distance in Slope Measurements?

The Horizontal Distance in Slope Measurements formula is defined as the distance between two points measured at a zero percent slope is calculated using Horizontal Distance = Slope Distance*cos(Vertical Angle). To calculate Horizontal Distance in Slope Measurements, you need Slope Distance (L) & Vertical Angle (x). With our tool, you need to enter the respective value for Slope Distance & Vertical Angle 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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