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Calcrivo

Angle of Elevation Calculator

Find the angle of elevation from horizontal distance and height above eye level.

Inputs

Vertical distance to the object.

Ground-level distance to the base.

Angle of Elevation

26.5651°

Line-of-sight distance

111.8034

Step by step

  1. Apply arctan

    arctan(height/distance) = arctan(50/100)

    = 26.56505118°

  2. Line-of-sight distance

    √(50² + 100²)

    = 111.80339887

How it works

The angle of elevation is the angle between the horizontal and the line of sight looking upward to an object. It is found using tan(θ) = opposite/adjacent = height/distance.

Formula

Angle of Elevation

θ = arctan(height / distance)

h
Height above eye level
d
Horizontal distance

Frequently Asked Questions

When do you use angle of elevation?

Whenever you look UP from horizontal — measuring building heights, incline of a ramp, spotting aircraft, etc.

How is elevation different from depression?

Elevation looks up from horizontal; depression looks down from horizontal. They use the same formula but with height above or below eye level.

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