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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.

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