Gradient Percent Along Survey Leg Calculator
Signed caveleg vertical/horizontal gradient = 100 tan(inclination); not sine-normalized path gradient, vertical leg percentage or a safety limit.
Description
A survey-leg gradient expresses vertical rise relative to horizontal run.
A survey-leg gradient expresses vertical rise relative to horizontal run.1
Inclination determines its signed percentage, and an exactly vertical leg has no finite tangent-based gradient.
When to use Gradient Percent Along Survey Leg Calculator
Use this tool to obtain conditionalSurveyLegGradientPercent from the supplied records using the stated calculation. Establish the survey or observation scope, reference frame, units and independently applicable calibration or qualified plan.
How to use Gradient Percent Along Survey Leg Calculator and understand its results
- Establish the survey or observation scope, reference frame, units and independently applicable calibration or qualified plan.
- Enter actualSurveyLegInclinationDegrees, using the field meanings and rules below, then run the tool.
- Read result.conditionalSurveyLegGradientPercent. Use the units and sign conventions below, and review any unknown records separately.
- Correct any reported input issue and run again. Before using a successful result, check the stated units, signs, reference scope and observation coverage.
| Input field | Meaning | Value type | Requirement |
|---|---|---|---|
| actualSurveyLegInclinationDegrees | Actual survey leg inclination degrees | number | Required |
Require a finite inclination strictly between −90 and 90 degrees. Convert to radians and multiply its tangent by one hundred. Uphill and downhill signs remain distinct; vertical endpoints fail.
gradientPercent=100×tan(inclinationDegrees×pi/180) Use the matching field units and the exact boundary, ordering and reference rules above.
| Output field | Meaning | Value type |
|---|---|---|
| result | Qualified observed calculation or explicit reference | object |
| result.conditionalSurveyLegGradientPercent | Conditional Survey Leg Gradient Percent | number |
{
"input": {
"actualSurveyLegInclinationDegrees": 45
},
"output": {
"result": {
"conditionalSurveyLegGradientPercent": 99.99999999999999
}
}
}Limitations and assumptions
The actual observation coverage, calibration and qualified plan determine applicability. A numerical result does not establish survey accuracy, route suitability, atmosphere conditions or equipment adequacy beyond the declared comparison.
Missing required fields, unknown fields, wrong types and violated rules return input issues. Numeric values and outputs must be finite. Extremely large composite outputs are rejected.
Alternative or Complementary methods
For a related step, use Inclinometer Angle True Dip Corrector: An instrument zero offset contributes a signed bias to an indicated inclination. For a complementary comparison, use Plan-to-Elevation Foreshortening Factor Calculator: Plan projection shortens a sloping leg according to its inclination.
References
Similar or alternative tools
- Inclinometer Angle True Dip Corrector
An instrument zero offset contributes a signed bias to an indicated inclination.
- Plan-to-Elevation Foreshortening Factor Calculator
Plan projection shortens a sloping leg according to its inclination.