Understanding Angle of Depression Calculations
The angle of depression is the angle formed between the horizontal line from an observer and the line of sight to a point below. This calculator computes the angle using the horizontal distance and vertical height difference.
The formula is θ = atan(Vertical Height / Horizontal Distance) * 180 / π. This is useful in surveying, navigation, physics, or any scenario involving elevation differences.
Angle of Depression Examples
| Horizontal Distance (ft) | Vertical Height (ft) | Angle of Depression (°) | Scenario |
|---|---|---|---|
| 100 | 50 | 26.57 | Hill observation |
| 200 | 100 | 26.57 | Building lookout |
| 500 | 150 | 16.70 | Cliff edge |
How to Use the Angle of Depression Calculator
- Measure the horizontal distance from the observer to the point below (in feet or meters).
- Measure the vertical height difference between the observer and the point below (in feet or meters).
- Select the unit (feet or meters).
- Click "Calculate Angle of Depression" to see the angle in degrees.
Angle of Depression Chart
Angles for different height-to-distance ratios (100 ft height).
Frequently Asked Questions
What is the angle of depression used for?
It’s used in surveying, navigation, and physics to determine the angle from a horizontal line to a point below, such as in topography or aiming systems.
Does the unit affect the angle calculation?
No, the angle is unitless as it depends on the ratio of vertical height to horizontal distance.