Angle of Elevation Calculator

Find the angle of elevation (or depression) from height and horizontal distance.

Inputs

θ = arctan(opposite / adjacent)

Result

Enter values and click calculate.

Elevation vs depression

The angle of elevation is measured upward from the horizontal — for example, looking up at the top of a building. The angle of depression is measured downward from the horizontal — like looking down from a cliff at a boat.

Both are computed the same way: arctan(opposite / adjacent).

Frequently Asked Questions

What is the angle of elevation?

The angle measured upward from a horizontal line to a line of sight. For example, looking up at the top of a tower from the ground.

What is the angle of depression?

The angle measured downward from a horizontal line. Looking down from a cliff to a boat on the water gives an angle of depression.

How are they calculated?

θ = arctan(opposite / adjacent), where opposite is the vertical distance and adjacent is the horizontal distance.

Are elevation and depression equal?

Between two points, the angle of elevation from A to B equals the angle of depression from B to A (alternate interior angles between parallel horizontals).

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