Television Coverage Many satellites travel in geosynchronous orbits

MATHEMATICS · Subjective · IB Diploma Programme · Mathematics: Analysis and Approaches · Geometry and Trigonometry · Geometry and Trigonometry

Problem

50. Television Coverage Many satellites travel in geosynchronous orbits, which means that the satellite stays over the same point on the Earth. A satellite that broadcasts cable television is in geosynchronous orbit 100 mi above the Earth. Assume that the Earth is a sphere with radius 4000 mi , and find the arc length of coverage area for the cable television satellite on the Earth's surface.

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