Horizon Range Calculator

Compute the distance to the visible horizon in nautical miles as one point one seven times the square root of the observer height in feet.

Description

Compute the distance to the visible horizon in nautical miles as one point one seven times the square root of the observer height in feet.

Horizon Range Calculator: Compute the distance to the visible horizon in nautical miles as one point one seven times the square root of the observer height in feet.

When to use Horizon Range

Use this sailing calculation as a planning or educational cross-check for navigation, wind and current, rig loads, stability, anchoring, tides, visibility, performance, or recovery under explicitly stated conditions.

Observer height (ft)
Height of the observer's eye above the sea surface; uses the one point one seven horizon coefficient.

How Horizon Range works

Compute the distance to the visible horizon in nautical miles as one point one seven times the square root of the observer height in feet. The tool evaluates the supplied inputs together and returns the named outputs below; it does not infer omitted operating conditions or change the units shown.1

Horizon range (NM)
Distance in nautical miles at which the sea horizon meets the line of sight.

Limitations and assumptions

  • Actual conditions change with vessel design and loading, sea state, wind, current, tide datum, weather, chart accuracy, equipment, crew, regulations, and safety margins. Simplified formulas do not replace seamanship, approved stability data, or current navigation information.
  • Use finite inputs in the displayed units and preserve more precision than the final presentation requires. Independently verify safety-critical, financial, compliance, or production decisions.

Alternative or Complementary approaches

Cross-check official charts, tide and weather services, instrument data, vessel manuals, and collision regulations; maintain conservative margins and a safe alternative plan.

References

  1. Maritime safety — Wikipedia contributors

Similar or alternative tools

  • Horizon Distance Calculator

    Compute the distance to the visible horizon in nautical miles as the coefficient one point one seven times the square root of eye height in feet.

  • SART Detection Range

    Estimate the radar detection range of a search and rescue radar transponder as one point one seven times the sum of the square roots of the SART mounting height and the responding antenna height in feet, capped at forty nautical miles.

  • Horizon Dip Calculator

    Compute the dip of the visible horizon in minutes of arc as the coefficient zero point nine seven times the square root of height of eye in feet.

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