Description
Calculate a simple obstruction elevation angle from a supplied eye position.
Performance planning separates cue text length, tempo, frame/time coordinates, prop counts and rehearsal budgets. Code points differ from displayed characters, and rest-bar duration assumes consistent beat definitions and constant tempo. A supplied count or geometric margin does not verify cue execution, accessibility, labor rules or safe stage operations.
Calculate a simple obstruction elevation angle from a supplied eye position.
When to use this tool
Use Seat Obstruction Angle Simple Inputs when you already have obstructionTopHeight, eyeHeight, horizontalDistance and need to calculate a simple obstruction elevation angle from a supplied eye position.
How to use the tool and how it works
- Enter obstructionTopHeight, eyeHeight, horizontalDistance. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read obstructionAngleRadians. Use the output convention below.
Require horizontalDistance>0; return atan2(obstructionTopHeight-eyeHeight,horizontalDistance) in radians.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| obstructionTopHeight | Obstruction Top Height | Required. Finite number. |
| eyeHeight | Eye Height | Required. Finite number. |
| horizontalDistance | Horizontal Distance | Required. Finite number; strictly above 0. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| obstructionAngleRadians | Obstruction Angle Radians | Required. Finite number. |
{
"input": {
"obstructionTopHeight": 2,
"eyeHeight": 1,
"horizontalDistance": 1
},
"output": {
"obstructionAngleRadians": 0.7853981633974483
}
}Limitations and assumptions
- A negative angle is retained; one obstruction does not establish a complete sightline, accessibility or safe seating layout.
- 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. Numeric signed-zero results are exported as zero.
Alternative or Complementary methods
Use the actual cue sheet, acquisition clock and tempo map for a complete timing plan. Review rendered text for width and reading time, and dimensioned sightlines or physical inventories for seating and prop questions that a scalar budget cannot settle.
References
Similar or alternative tools
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