Satellites A satellite S circles a planet at a distance d miles from the planet’s surface....

Satellites A satellite S circles a planet at a distance d miles from the planet’s surface. The portion of the planet’s surface that is visible from the satellite is determined by the angle θ indicated in the figure.

EXERCISE

(a) Assuming that the planet is spherical in shape, express d in terms of θ and the radius r of the planet.

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(b) Approximate θ for a satellite 300 miles from the surface of Earth, using r = 4000 mi.