Plan-to-Elevation Foreshortening Factor Calculator
Declared plan horizontal length/slope length cosinefactor, not ratio to an arbitrary projected extended-elevation orientation. Actual signed inclination independently calibrated.
Description
Plan projection shortens a sloping leg according to its inclination.
Plan projection shortens a sloping leg according to its inclination.1
The cosine factor relates horizontal projection to measured slope length in the declared frame.
When to use Plan-to-Elevation Foreshortening Factor Calculator
Use this tool to obtain conditionalPlanToSlopeForeshorteningFactor 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 Plan-to-Elevation Foreshortening Factor Calculator and understand its results
- Establish the survey or observation scope, reference frame, units and independently applicable calibration or qualified plan.
- Enter actualInclinationDegrees, using the field meanings and rules below, then run the tool.
- Read result.conditionalPlanToSlopeForeshorteningFactor. 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 |
|---|---|---|---|
| actualInclinationDegrees | Actual inclination degrees | number | Required |
Require finite inclination in [−90,90] degrees, including endpoints. Return its cosine after conversion to radians; floating-point endpoint values may be a very small positive number rather than exact zero.
foreshorteningFactor=cos(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.conditionalPlanToSlopeForeshorteningFactor | Conditional Plan To Slope Foreshortening Factor | number |
{
"input": {
"actualInclinationDegrees": 60
},
"output": {
"result": {
"conditionalPlanToSlopeForeshorteningFactor": 0.5000000000000001
}
}
}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 Gradient Percent Along Survey Leg Calculator: A survey-leg gradient expresses vertical rise relative to horizontal run.
References
Similar or alternative tools
- Inclinometer Angle True Dip Corrector
An instrument zero offset contributes a signed bias to an indicated inclination.
- Gradient Percent Along Survey Leg Calculator
A survey-leg gradient expresses vertical rise relative to horizontal run.