Correct Hidden Formula

Flat-Earthers like to use the erroneous “8 inches per mile squared” to calculate the height hidden by Earth’s curvature. The following is the correct equation for the purpose, accounting for the observer’s height & atmospheric refraction

h_\mathrm{h} = { R \over \cos\left[ { s \over R } - \arccos\left( { R \over R + h_\mathrm{O} } \right) \right] } - R

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Difference in Hidden Height Calculation Results

Flat-Earthers use “8 inches per mile squared” to calculate the hidden height of a distant object. It is not the proper formula as it ignores the observer’s height & refraction. It will result in an erroneously larger hidden height than the correct amount.

A 2-m-tall observer will be able to see a 5-m-high object at 10 km. However, the 8-inches rule erroneously tells it should be entirely hidden. It is the source of a lot of flat Earth misinformation.

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