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Quite simply, it doesn't work that way. At first, for every foot you go up, the distance to the horizon increases quickly; later it increases slower. From Wikipedia:"At 6 feet, the horizon is almost exactly 3 miles away. ... If your height increases by a factor of x, the distance to the horizon increases by a factor of square root of x (for any units)."

The above is an approximation, for low altitudes (low, compared to the Earth's radius).

From the relationship above, you can calculate how much the distance to the horizon increases, for example, when you go from 1000 feet altitude, to 2000 feet altitude. But if you rise from 2000 feet altitude to 3000 feet altitude, or from 3000 to 4000 feet, the results will vary.

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8y ago
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8y ago

The furthest that most people can see, with the naked eye, is approx 0.7 million parsecs (2.25 million light years). That is the distance to the Andromeda Galaxy (M31). Any gain in altitude - of the order of thousands of feet - will not make much difference.

In terms of the distance to the Earth's horizon, the relationship is non linear. Using the first order approximation for atmospheric diffraction to the horozon,

the first 1000 feet enables you to see 42 miles further.

the second 1000 feet adds 17 miles to that

the third adds a further 13 miles and so on.

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Q: How much farther can a person see for every 1000 ft. of altitude gained?
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