The farthest distance a satellite signal can directly reach is the length of the segment tangent to the curve of Earth’s surface. If a satellite signal could reach an unlimited distance, could half of the Earth’s surface be reached by the signal at one time? Explain.

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05-03-2017
Mathematics

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The farthest distance a satellite signal can directly reach is the length of the segment tangent to the curve of Earth’s surface. If a satellite signal could reach an unlimited distance, could half of the Earth’s surface be reached by the signal at one time? Explain.

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irspow irspow · Answer 1 · 2017-03-18T21:39:43+01:00

irspow irspow

18-03-2017

No. cos a=r/(r+h), where r is the radius of the earth, h is the distance from the surface of the earth and a is the half angle of the earth subtended. While a would approach 90 as h approached infinity it could never actually get to 90 degrees. It is like an asymptote, close but no cigar :)

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