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Horizon Calculator



It's simple, really. If you want to know the distance to the horizon you simply have to know your height of eye. That is the distance that your eyes are off the surface of the water. If you're in a jon boat, that would probably be about three feet (if you are sitting like you should be in a jon boat). If you were standing at the water's edge, your height of eye is the distance from your eye to your feet.

Once you know your height of eye you simply plug that into the following formula:
1.17 times the square root of your height of eye = Distance to the horizon in nautical miles

For example, let's say you are on the water in a friend's sport fishing boat and your height of eye is 9 feet above the surface of the water. The formula to calculate distance to the horizon is:

1.17 times the square root of 9 = Distance to the horizon in nautical miles.
1.17 * 3 = 3.51 nautical miles


If you want to calculate the distance at which an object becomes visible, you must know your height of eye and the height of the object. You then do the same calculation for your distance to the horizon and the object's distance to the horizon and add the distances together. For example:
You have the same height of eye of 9 feet so your distance to the horizon is still 3.51 nautical miles. You're approaching a port that has a lighthouse that is shown on your chart to have a height of 81 feet. Using the same formula you would find that 1.17 times the square root of 81 (1.17 * 9) = 10.53 nautical miles (the light house can be seen 10.53 nautical miles over the horizon)

By adding the two together: 3.51 + 10.53 = 14.04 nautical miles, you should be able to see the lighthouse when you are 14.04 nautical miles away.


Given the Height of Eye, Compute the Distance to the Horizon

Height of eye (specify units):
feet meters
Distance to the Horizon: (Nautical Miles)
(Statute Miles)




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