Horizon Distance Calculator

Calculate the distance to the horizon based on your height above sea level

Input Parameters

Calculation Results

Calculation Formula

d = √(2Rh + h²)

Where:
d = distance to horizon (km)
R = Earth's radius (6371 km)
h = observer height above sea level (m)

Result

Distance to Horizon: -- km

Distance to Horizon: -- miles

Horizon Distance Calculator Usage Guide

Learn how to use the Horizon Distance Calculator and understand its working principles

How to Use This Calculator

  1. Enter your height above sea level in meters. This can be your actual height if you're standing, or the height of a viewpoint like a hill, building, or vessel.
  2. Click the "Calculate" button to compute the distance to the horizon.
  3. The result will be displayed in both kilometers and miles.

Understanding the Formula

The calculator uses the following formula to calculate the distance to the horizon:

d = √(2Rh + h²)

Where:

  • d is the distance to the horizon
  • R is the Earth's radius (approximately 6371 kilometers)
  • h is the observer's height above sea level

Practical Applications

This calculator is useful for:

  • Navigation - determining how far you can see from a vessel or hill
  • Observation - planning for astronomical viewing or wildlife spotting
  • Understanding atmospheric and geographical concepts

Note: This calculation assumes a flat Earth surface. Actual visibility may be affected by atmospheric conditions, terrain features, and obstructions.