36. A communications satellite is in geosynchronous orbit. This means that its orbit coincides with the rotation period of the Earth so that it remains above a fixed point on the surtace of the Earth at all times. The altitude of the satellite is 35,786 km. The sender and receiver of a signal must both be within the line of sight of the satellite. What is the maximum distance along the surface of the Earth for which the sender and receiver can communicate? Take the radius of the Earth to be 6357 km and round to the nearest kilometer.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.2: Ellipses
Problem 61E
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36. A communications satellite is in geosynchronous orbit. This means that its orbit coincides with the rotation period of the Earth so that it remains above a fixed point on the surtace of the Earth at all times. The altitude of
the satellite is 35,786 km. The sender and receiver of a signal must both be within the line of sight of the satellite. What is the maximum distance along the surface of the Earth for which the sender and receiver can
communicate? Take the radius of the Earth to be 6357 km and round to the nearest kilometer.
Transcribed Image Text:36. A communications satellite is in geosynchronous orbit. This means that its orbit coincides with the rotation period of the Earth so that it remains above a fixed point on the surtace of the Earth at all times. The altitude of the satellite is 35,786 km. The sender and receiver of a signal must both be within the line of sight of the satellite. What is the maximum distance along the surface of the Earth for which the sender and receiver can communicate? Take the radius of the Earth to be 6357 km and round to the nearest kilometer.
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