Stage Rake Height At Mark Tool

Description

For nonnegative upstageDistance return height=datumHeight+upstageDistance*risePerRun.

A production plan combines stage geometry, cue times, movement distances, material dimensions, and explicit scheduling or accounting rules. Signed margins reveal surplus or deficit under the chosen model. Physical clearances, execution variability, and governing requirements can require checks beyond one arithmetic term.

For nonnegative upstageDistance return height=datumHeight+upstageDistance*risePerRun.

When to use this tool

Use Stage Rake Height At Mark when you need this specific stage, cue, material, timing, count, or fee term under supplied production assumptions.

How to use the tool and how it works

Enter upstageDistance, risePerRun, datumHeight. Use the units and conventions below.
Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
Read height. Use the output convention below.

For nonnegative upstageDistance return height=datumHeight+upstageDistance*risePerRun.^[1]

Input field	Meaning and units	Accepted input
upstageDistance	Upstage Distance	Required. Finite number; minimum 0.
risePerRun	Dimensionless slope ratio; 0.05 means five percent rise.	Required. Finite number.
datumHeight	Datum Height	Required. Finite number.

Output field	Interpretation	Returned shape
height	Height	Required. Finite number.

json

{
  "input": {
    "upstageDistance": 10,
    "risePerRun": 0.05,
    "datumHeight": 1
  },
  "output": {
    "height": 1.5
  }
}

Limitations and assumptions

RisePerRun is a dimensionless slope ratio rather than degrees or a percent numeral. Use one length unit; the plane is assumed uniform and no safe stage-rake design is established.
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 complete production schedule or equipment/layout assessment when one margin is insufficient. Check units, timing conventions, tolerances, and physical constraints before combining terms.

References

Calculation and input contract: performing-arts/stage-rake-height-at-mark — tool.io

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