## Inclination Angle given Length of Valley Curve Less than Stopping Sight Distance Solution

STEP 0: Pre-Calculation Summary
Formula Used
Inclination = atan(((Length of Curve-2*Sight Distance)*Deviation Angle+2*Driver Sight Height)/(2*Sight Distance))
αangle = atan(((Ls-2*S)*N+2*h1)/(2*S))
This formula uses 2 Functions, 5 Variables
Functions Used
tan - Trigonometric tangent function, tan(Angle)
atan - Inverse trigonometric tangent function, atan(Number)
Variables Used
Inclination - (Measured in Radian) - Inclination refers to the angle or slope of an object or surface concerning the horizontal plane.
Length of Curve - (Measured in Meter) - Length of Curve is the distance along the road where the alignment changes from upward to downward slope, creating a valley-shaped concave.
Sight Distance - (Measured in Meter) - Sight Distance is s the minimum distance between two vehicles moving along a curve, when the driver of one vehicle can just see the other vehicle on the road.
Deviation Angle - (Measured in Radian) - Deviation Angle is the angle between the reference direction and the observed direction.
Driver Sight Height - (Measured in Meter) - Driver Sight Height refers to the vertical distance between the driver's eye level and the road surface while seated in a vehicle.
STEP 1: Convert Input(s) to Base Unit
Length of Curve: 7 Meter --> 7 Meter No Conversion Required
Sight Distance: 3.56 Meter --> 3.56 Meter No Conversion Required
Driver Sight Height: 0.75 Meter --> 0.75 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
αangle = atan(((Ls-2*S)*N+2*h1)/(2*S)) --> atan(((7-2*3.56)*0.88+2*0.75)/(2*3.56))
Evaluating ... ...
αangle = 0.19339497569565
STEP 3: Convert Result to Output's Unit
0.19339497569565 Radian -->11.080715886398 Degree (Check conversion here)
11.080715886398 11.08072 Degree <-- Inclination
(Calculation completed in 00.020 seconds)
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## < 4 Length of Valley Curve Less than Stopping Sight Distance Calculators

Deviation Angle Given Length of Valley Curve Less than Stopping Sight Distance
Deviation Angle = (2*Sight Distance)-(2*Driver Sight Height+(2*Sight Distance*tan(Inclination)))/(Length of Curve)
Inclination Angle given Length of Valley Curve Less than Stopping Sight Distance
Inclination = atan(((Length of Curve-2*Sight Distance)*Deviation Angle+2*Driver Sight Height)/(2*Sight Distance))
Length of Valley Curve Less than Stopping Sight Distance
Length of Curve = 2*Sight Distance-(2*Driver Sight Height+(2*Sight Distance*tan(Inclination)))/(Deviation Angle)
Driver Sight Height given Length of Valley Curve Less than Stopping Sight Distance
Driver Sight Height = ((Length of Curve-2*Sight Distance)*Deviation Angle+2*Sight Distance*tan(Inclination))/2

## Inclination Angle given Length of Valley Curve Less than Stopping Sight Distance Formula

Inclination = atan(((Length of Curve-2*Sight Distance)*Deviation Angle+2*Driver Sight Height)/(2*Sight Distance))
αangle = atan(((Ls-2*S)*N+2*h1)/(2*S))

## Length of Valley Curve Less than Stopping Sight Distance

The "Length of Valley Curve Less than Stopping Sight Distance" refers to the segment of a road that forms a downward slope or depression (valley) and is shorter than the stopping sight distance required for safe driving. This length indicates a section where the road curvature is such that a driver can see the road ahead within a distance that is less than the stopping sight distance, potentially posing a visibility challenge and requiring caution.

## How to Calculate Inclination Angle given Length of Valley Curve Less than Stopping Sight Distance?

Inclination Angle given Length of Valley Curve Less than Stopping Sight Distance calculator uses Inclination = atan(((Length of Curve-2*Sight Distance)*Deviation Angle+2*Driver Sight Height)/(2*Sight Distance)) to calculate the Inclination, The Inclination Angle given Length of Valley Curve Less than Stopping Sight Distance formula is defined as an inverse tan of the result obtained by adding the product of the deviation angle and the length of the curve to twice the driver's eye height, all divided by twice the sight distance. Inclination is denoted by αangle symbol.

How to calculate Inclination Angle given Length of Valley Curve Less than Stopping Sight Distance using this online calculator? To use this online calculator for Inclination Angle given Length of Valley Curve Less than Stopping Sight Distance, enter Length of Curve (Ls), Sight Distance (S), Deviation Angle (N) & Driver Sight Height (h1) and hit the calculate button. Here is how the Inclination Angle given Length of Valley Curve Less than Stopping Sight Distance calculation can be explained with given input values -> 634.8783 = atan(((7-2*3.56)*0.88+2*0.75)/(2*3.56)).

### FAQ

What is Inclination Angle given Length of Valley Curve Less than Stopping Sight Distance?
The Inclination Angle given Length of Valley Curve Less than Stopping Sight Distance formula is defined as an inverse tan of the result obtained by adding the product of the deviation angle and the length of the curve to twice the driver's eye height, all divided by twice the sight distance and is represented as αangle = atan(((Ls-2*S)*N+2*h1)/(2*S)) or Inclination = atan(((Length of Curve-2*Sight Distance)*Deviation Angle+2*Driver Sight Height)/(2*Sight Distance)). Length of Curve is the distance along the road where the alignment changes from upward to downward slope, creating a valley-shaped concave, Sight Distance is s the minimum distance between two vehicles moving along a curve, when the driver of one vehicle can just see the other vehicle on the road, Deviation Angle is the angle between the reference direction and the observed direction & Driver Sight Height refers to the vertical distance between the driver's eye level and the road surface while seated in a vehicle.
How to calculate Inclination Angle given Length of Valley Curve Less than Stopping Sight Distance?
The Inclination Angle given Length of Valley Curve Less than Stopping Sight Distance formula is defined as an inverse tan of the result obtained by adding the product of the deviation angle and the length of the curve to twice the driver's eye height, all divided by twice the sight distance is calculated using Inclination = atan(((Length of Curve-2*Sight Distance)*Deviation Angle+2*Driver Sight Height)/(2*Sight Distance)). To calculate Inclination Angle given Length of Valley Curve Less than Stopping Sight Distance, you need Length of Curve (Ls), Sight Distance (S), Deviation Angle (N) & Driver Sight Height (h1). With our tool, you need to enter the respective value for Length of Curve, Sight Distance, Deviation Angle & Driver Sight Height and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well. Let Others Know