[Hint: Consult the figure. When a person at Q sees the first rays of the Sun, a person at Pis 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 27 (3559) miles is subtended.] 90 miles Pla 3559 miles Rotation of Earth Sun w+E Fort CLauderdale, Q Naples, P

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.2: Trigonometric Functions Of Angles
Problem 50E
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Question

Difference in Time of Sunrise Naples, Florida, is about
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? See the hint.

[Hint: Consult the figure. When a person at Q sees the first
rays of the Sun, a person at Pis 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 27 (3559) miles
is subtended.]
90 miles
Pla
3559
miles
Rotation
of Earth
Sun
w+E
Fort
CLauderdale, Q
Naples, P
Transcribed Image Text:[Hint: Consult the figure. When a person at Q sees the first rays of the Sun, a person at Pis 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 27 (3559) miles is subtended.] 90 miles Pla 3559 miles Rotation of Earth Sun w+E Fort CLauderdale, Q Naples, P
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