Vertical Angle Calculator

Calculate the angle of elevation from an observation point to an object of known height and distance

Input Parameters

Calculation Results

Calculation Formula

tan(θ) = height / distance

Where:
θ = vertical angle of elevation
height = height of the object
distance = horizontal distance from the object

Vertical Angle Calculator Usage Guide

Learn how to use the Vertical Angle Calculator and understand its applications

What is a Vertical Angle?

A vertical angle (or angle of elevation) is the angle between the horizontal plane and the line of sight to an object above the horizontal plane.

How to Use This Calculator

  1. Enter the height of the object you're observing (in meters).
  2. Enter the horizontal distance from your observation point to the base of the object (in meters).
  3. Click the "Calculate" button.
  4. The calculator will display the vertical angle in both degrees and radians.

Applications

This calculator is useful in various fields including:

  • Architecture and construction for roof pitch calculations
  • Surveying and mapping
  • Navigation and astronomy
  • Physics and engineering

Example

If you're standing 50 meters away from a tree that is 20 meters tall, the vertical angle of elevation to the top of the tree would be approximately 21.8014 degrees.