Description
Project backLength with cosine and sine of angleFromVertical for verticalHeight and horizontalSetback.
Simple site geometry approximates an area, section, or volume using ideal shapes. Coherent length units and the distinction between signed and unsigned quantities determine the result's meaning.
Project backLength with cosine and sine of angleFromVertical for verticalHeight and horizontalSetback.
When to use this tool
Use Bench Seat Back Angle Projection when you need one transparent landscape geometry component.
How to use the tool and how it works
- Enter backLength, angleFromVertical. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read verticalHeight, horizontalSetback. Use the output convention below.
Project backLength with cosine and sine of angleFromVertical for verticalHeight and horizontalSetback. Require radians in [0, π/2).1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| backLength | Back Length | Required. Finite number; minimum 0. |
| angleFromVertical | Angle From Vertical | Required. Finite number; minimum 0. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| verticalHeight | Vertical Height | Required. Finite number. |
| horizontalSetback | Horizontal Setback | Required. Finite number. |
{
"input": {
"backLength": 1,
"angleFromVertical": 0.5235987755982988
},
"output": {
"verticalHeight": 0.8660254037844387,
"horizontalSetback": 0.49999999999999994
}
}Limitations and assumptions
- This is a geometric projection without load capacity, ergonomics, or furniture safety validation.
- 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 a surveyed terrain or construction model when irregular shapes, settlement, drainage, and structural performance matter.
References
Similar or alternative tools
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