Angle of Depression Calculator

Calculate the angle of depression from an observer to a point on the ground using height and distance measurements

Input Parameters

Calculation Results

Calculation Formula

tan(θ) = height / distance

Where:
θ = angle of depression
height = observer's height above the ground
distance = horizontal distance from observer to the point on the ground

Angle of Depression Calculator Usage Guide

Learn how to use the Angle of Depression Calculator and its working principles

What is Angle of Depression?

The angle of depression is the angle formed between a horizontal line from the observer's eye level and the line of sight to an object below the observer. This concept is commonly used in trigonometry and real-world applications such as surveying, astronomy, and architecture.

How to Use This Calculator

  1. Enter the height of the observer above the ground in meters.
  2. Enter the horizontal distance from the observer to the point on the ground in meters.
  3. Click the "Calculate" button to compute the angle of depression.
  4. The results will be displayed in both degrees and radians.

Practical Applications

The angle of depression can be used to determine:

  • The height of objects that cannot be directly measured (e.g., tall buildings, trees)
  • The distance to objects that cannot be directly measured
  • Navigation and surveying tasks
  • Optimization of camera angles for photography and videography

Example

If you are standing on a cliff 50 meters high and observe a boat at a horizontal distance of 100 meters from the base of the cliff, the angle of depression to the boat would be approximately 26.5651 degrees.