Angle of Depression

Find the downward angle between the horizontal line of sight and an object.

Distances

Units

Vertical Distance (Height) (ft)

Horizontal Distance (ft)

Angular Result

Land surveying or observation?

Enter the vertical height from the observer and the horizontal distance to the object to calculate the angle of depression.

Overview

The angle of depression is the angle formed by the horizontal line of sight and the line from the observer's eye to an object below. It is mathematically identical to the angle of elevation seen from the object's perspective. Surveys, civil engineering, and even basic home project planning use this to determine height or distance relationships.

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Pro Tips

Ensure you are measuring from the observer's eye level, not just the floor or standing surface.
For long distances, atmospheric refraction can slightly affect the perceived angle of depression.
Use this tool to plan security camera angles or lighting coverage from a fixed height.

Fun Facts

"In navigation, the angle of depression to the horizon can be used to estimate your height above sea level."
"The term 'depression' in this context comes from the Latin 'depressio', meaning 'to press down'."
"Because of 'alternate interior angles', your angle of depression looking down at a cat is the exact same as the cat's angle of elevation looking up at you."

Formula: Angle = arctan(Vertical / Horizontal); Distance = √(Vertical² + Horizontal²)

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