Naples, Florida, is approximately 90 miles due west of Ft. Lauderdale. How much sooner would a person

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Naples, Florida, is approximately 90 miles due west of Ft. Lauderdale. How much sooner would a person in Ft. Lauderdale first see the rising Sun than a person in Naples?

Consult the figure. When a person at Q sees the first rays of the Sun, a person at P is still in the dark. The person at P sees the first rays after Earth has rotated so that P is at the location Q. Now use the fact that at the latitude of Ft. Lauderdale in 24 hours an arc of length 2π(3559)miles is subtended.

90 miles PlQ 3559 miles Rotation of Earth Sun W+E) Fort OLauderdale, Q Naples, P zts

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Precalculus

ISBN: 978-0321716835

9th edition

Authors: Michael Sullivan

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