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Angle of Depression Calculator — result sheet
Calculate the downward viewing angle from an observation height and horizontal distance.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Angle = arctan(height/horizontal distance).
The right-triangle ratio is converted to degrees and is measured downward from the horizontal.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Height difference — m; minimum 0; maximum 1000000
- Horizontal distance — m; minimum 1.0E-6; maximum 1000000
Worked example
| Input | Value |
|---|---|
| Height difference | 10 |
| Horizontal distance | 30 |
Angle of depression ≈18.43°.
Assumptions and limits
- Height is nonnegative and horizontal distance is positive in the same length unit.
- The observation and target share a level reference for the horizontal distance.
- Terrain, obstacles, curvature, instrument height, and construction safety are not modeled.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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