Angle of Depression Calculator

Your details

Choose the unknown you want to find. All other fields become inputs.
The angle measured downward from the horizontal line of sight.
The angle measured downward from the horizontal line of sight.
Height difference between the observer and the object below.
m
Horizontal ground distance from directly below the observer to the object.
m
Straight-line (line-of-sight) distance from the observer to the object.
m
Angle of depressionModerate
30.0007

Angle below the horizontal, in degrees (or radians if selected)

Angle in radians0.523611
Vertical drop (h)50
Horizontal distance (d)86.6
Slant distance (s)99.998
Angle of elevation (from object)30.0007
_unitm
_angleUnitdeg

The angle of depression is 30.00°.

  • For every 86.60 m of horizontal distance, the observer is 50.00 m above the object.
  • The straight-line (slant) distance from observer to object is 100.00 m.
  • In radians, the same angle is 0.52361 rad (about 0.333 of a right angle).
  • The angle of elevation seen from the object looking up equals the angle of depression by the alternate interior angles theorem.

Next stepUse the slant distance to calculate travel time along a ramp or slope, or pair with an azimuth bearing for full 3D positioning.

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