Angle of Elevation Calculator

Calculate the angle of elevation from an observer's viewpoint to a point of interest. This calculator is useful in fields like astronomy, surveying, architecture, and engineering.

Input Parameters

Calculation Results

Angle of Elevation (θ)

Calculation Formula

tan(θ) = (h - h₀) / d

Where:
θ = Angle of Elevation
h = Height of the object
h₀ = Height of observer's eye level
d = Horizontal distance from observer to base of object

Angle of Elevation Calculator Usage Guide

Learn how to use the Angle of Elevation Calculator and understand its applications

What is Angle of Elevation?

The angle of elevation is the angle formed between the horizontal line of sight and the line of sight to an object above the horizontal. It's commonly used in various fields including astronomy, trigonometry, construction, and surveying.

How to Use This Calculator

  1. Enter the height of the object you're observing (e.g., a building, tree, or hill).
  2. Enter the horizontal distance from your position to the base of the object.
  3. Optionally, enter your eye level height if you're not at ground level.
  4. Click the "Calculate" button to compute the angle of elevation.

Applications

  • Architecture and Engineering: Determining roof slopes, building heights, and structural clearances.
  • Surveying: Measuring heights of inaccessible objects like mountains or tall structures.
  • Astronomy: Calculating the angle between the horizon and celestial bodies.
  • Navigation: Determining elevation changes in terrain planning.

Example

Suppose you're standing 50 meters away from a flagpole that's 20 meters tall. Your eye level is 1.5 meters above the ground. The angle of elevation would be:

tan(θ) = (20 - 1.5) / 50 = 18.5 / 50 = 0.37

θ = arctan(0.37) ≈ 20.56°