Angle of Elevation / Depression

tan(angle) = opposite / adjacent. Find angle from height + distance.

Result

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Scientific calculator (Casio fx-991EX)

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How to use this calculator

Pick what to solve.
Enter the two known values.

About this calculator

Angle of elevation: looking up from horizontal. Angle of depression: looking down. Same math: tan(angle) = vertical / horizontal. Used in surveying (height of building from across street), navigation (target ranging), and construction (slope grading). Always measure from horizontal eye level.

Frequently asked

Difference elevation vs. depression?+

Elevation: looking up. Depression: looking down. Math identical (alternate interior angles for horizontal observer).

Eye height adjustment?+

For terrestrial measurements: subtract eye height from object height. Significant for short-distance / nearby objects.

Common applications?+

Hypsometer (tree height), boat distance from lighthouse, angle for mounting solar panel.

Multiple measurements?+

Sight from 2 locations: triangulation. Solves both distance + height when neither known.

Refraction?+

Atmospheric refraction bends light. Negligible for short distances; ~6' over 1 km horizontal.

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