Description
For positive horizontalRun and nonnegative heelHeight and forefootHeight return rise=heelHeight-forefootHeight, slope=rise/horizontalRun, and angleRadians=atan2(rise,horizontalRun).
Foot and footwear research uses geometric dimensions, contact cells, forces, and measurement records. A length margin, normalized difference, or contact share has a specific measurement basis and can omit important three-dimensional or sensor effects. Arithmetic on supplied observations is separate from a validated clinical assessment.
For positive horizontalRun and nonnegative heelHeight and forefootHeight return rise=heelHeight-forefootHeight, slope=rise/horizontalRun, and angleRadians=atan2(rise,horizontalRun).
When to use this tool
Use Heel Height Footbed Slope Geometry Term when you have supplied foot, footwear, bench, or recording data and need this measurement or record-support calculation.
How to use the tool and how it works
- Enter heelHeight, forefootHeight, horizontalRun. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read rise, slope, angleRadians. Use the output convention below.
For positive horizontalRun and nonnegative heelHeight and forefootHeight return rise=heelHeight-forefootHeight, slope=rise/horizontalRun, and angleRadians=atan2(rise,horizontalRun).1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| heelHeight | Heel Height | Required. Finite number; minimum 0. |
| forefootHeight | Forefoot Height | Required. Finite number; minimum 0. |
| horizontalRun | Horizontal Run | Required. Finite number; strictly above 0. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| rise | Rise | Required. Finite number. |
| slope | Slope | Required. Finite number. |
| angleRadians | Angle in radians under the stated orientation convention. | Required. Finite number. |
{
"input": {
"heelHeight": 30,
"forefootHeight": 10,
"horizontalRun": 200
},
"output": {
"rise": 20,
"slope": 0.1,
"angleRadians": 0.09966865249116204
}
}Limitations and assumptions
- Lengths need one unit; slope is dimensionless and angle is radians. This straight-line geometry omits foot posture, loading, material deformation, and safe footwear recommendations.
- Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
- Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Signed zero is exported as zero.
Alternative or Complementary methods
Use a documented measurement protocol with calibrated equipment and appropriate geometric or contact models. Broader interpretation requires assessment of the underlying observations beyond one length, ratio, or support flag.
References
Similar or alternative tools
- Foot Length Width Size Chart Source Pair
Retain supplied chart/source and unit context without selecting a shoe size.
- Foot Pressure Cell Area Factor
Return one supplied bench pressure-area force contribution in compatible units.