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A comment on Longest Lines of Sight on Earth. Parent comment
https://upload.wikimedia.org/wikipedia/commons/2/21/Geometri...
R ≈ 6.4E6
h = 0.3
d = √(2Rh + h²) ≈ 2.0E3
γ ≈ sin γ = d/(R + h) ≈ 3.1E-4
extra rope length = 2 × (d − γR) = 2R × (tan γ − γ) ≈ 2R × γ³/3 ≈ 0.13E-3
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https://upload.wikimedia.org/wikipedia/commons/2/21/Geometri...
R ≈ 6.4E6
h = 0.3
d = √(2Rh + h²) ≈ 2.0E3
γ ≈ sin γ = d/(R + h) ≈ 3.1E-4
extra rope length = 2 × (d − γR) = 2R × (tan γ − γ) ≈ 2R × γ³/3 ≈ 0.13E-3