Apparent Angle Calculator

This calculator determines the apparent angle of an object based on its actual height, distance from the observer, and the observer's elevation.

Input Parameters

Calculation Results

Calculation Formula

Apparent Angle (θ) = arctan((h + d * tan(e)) / d)

Where:
θ = Apparent Angle
h = Object Height (meters)
d = Distance to Object (meters)
e = Observer's Elevation (meters)

Results

Apparent Angle:

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Apparent Angle (degrees):

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Apparent Angle Calculator Usage Guide

Learn how to use the Apparent Angle Calculator and understand its working principles

How to Use This Calculator

  1. Enter the observer's elevation in meters (height of the observer above sea level).
  2. Enter the distance to the object in meters.
  3. Enter the actual height of the object in meters.
  4. Click the "Calculate" button to compute the apparent angle.
  5. The calculator will display the apparent angle in both radians and degrees.

Understanding the Apparent Angle

The apparent angle is the angle at which an object appears to be when viewed from a certain distance and elevation. This angle takes into account both the actual height of the object and the observer's position.

Formula Explanation

The formula used in this calculator is:

θ = arctan((h + d * tan(e)) / d)

Where:

  • θ = Apparent Angle (in radians)
  • h = Object Height (in meters)
  • d = Distance to Object (in meters)
  • e = Observer's Elevation (in degrees)

Practical Applications

This calculator can be used in various scenarios such as:

  • Estimating the height of distant objects
  • Navigation and surveying
  • Astronomy for determining the apparent position of celestial bodies
  • Architecture and construction for viewing angles