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When standing on a beach how many miles is the horizon looking out at sea?
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How far can you see to the horizon on water?
A very rough or "ball park" figure is about 20 miles. Comment: It depends on your height above the water. You could only see 20 miles if you were well above sea level. If you are standing more or less at sea level, with your eyes just a few feet above the water level, you could see only about 3 or 4 miles. For example: Eye level at 6 feet: horizon at about 3 miles. Eye level at 24 feet: horizon at about 6 miles. Eye level at 96 feet: horizon at about 12 miles. Eye level at 270 feet : horizon at about 20 miles.
Distance to the earth's horizon?
The distance in kilometers to the horizon is the square root of (13 X observers height in meters) so for a 1.8 meter person standing on the seashore the horizon is about 5 km away. For someone on a jet at 10,000 meters the horizon is 360 km away.
What is the distance to the horizon?
The distance to the horizon depends on the altitude of the observer. Assuming that the earth is a sphere and that the horizon is at sea level, the geometry of the situation involves a right triangle with the hypotenuse equal to the radius of the earth plus your altitude (R + A) and the opposite side equal to the radius of the earth (R). Then it's only necessary to apply the Pythagorean theorem to calculate the third side:D = sqrt( (R + A)2 - R2 ) = sqrt( 2RA + A2 )where the radius of the earth is 6367.5 km or 6.3675 x 106 m. If you're standing on the beach looking out to sea, then A is at most a few meters, say 3 m as an example. In that case, the horizon is about 6181 m or 6.181 km away. If you're on a high bluff or on the roof of a tall building looking out to sea, and your altitude is 150 m, then the horizon would be 43,706 m or 43.706 km away. The arithmetic is slightly more complicated if the horizon is anything other than the ocean.Another Way To Look At It:A simple approximation formula:The distance in miles, is the square root of one and a half times the height in feet.So, for a six foot tall person, standing on a beach: 1.5 times their height is 9. The square root of 9 = 3. So, the horizon is about 3 miles away.Note: This simplified formula is quite accurate, but only works if the height is in feet and the distance in miles. If you want to use height in meters and distance in kilometers, you need to change the multiplier from 1.5 to 12.74.
How far is horizon at 100 ft?
At 100ft, the horizon is approx 12 miles away.
How far can you see on the horizon?
According to Maryln Van DeSavant I seem to recall she said 7 miles. From basic geometry, you get that the distance to the horizon is D=sqrt(2Rh) where D = distance to horizon R = radius of earth h = height of observer, which would be the height of your eyes. R and h have to be in consistent units, of course. In feet the radius of the earth is about 4000 mi * 5000 ft/mi or 20 million feet. Standing on the shore, your eyes are maybe 5 feet above the surface, so D=sqrt(2*20e6*5)= 14000 feet, or a little under three miles. There are some other effects that make that number a little different. Refraction bends your line of sight, so you can see a little bit farther. If you're looking at an object on the water, like a ship, you also get the distance on the other side of the horizion that corresponds to the height of the target. ==How to calculate the distance yourself== To get an "approximate" distance to the oceanic horizon from a particular observation point, take the square root of the height of the observation point, add 22.5%, and that will give you the distance in statute miles. For example, if your eyes were 6 feet off the ground, and you stood atop a 50' tower, your observation point would be 56'. The square root of 56' is 7.48. Add 22.5% of 7.48 (1.68) to 7.48 and you have 9.16 statute miles from your eyes to the horizon.
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