Given information: The number of hours of daylight that occur at any location on Earth depends on the time of year and the latitude of the location. The equations below model the numbers of hours of daylight in Seward, Alaska (60° latitude), and New Orleans, Louisiana (30° latitude). D=12.2-6.4 cos [ n(t + 0.2)/182.6] Seward, Alaska D=12.2-1.9 cos [ n(t + 0.2)/182.6 ] New Orleans, Louisiana In these models, D represents the number of hours of daylight and t represents the day, with t=0 corresponding to January 1.

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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sions Help Last edit was seconds ago
11 + BIUA
ial
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1
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Given information:
The number of hours of daylight that occur at any location on Earth depends on the time of year
and the latitude of the location. The equations below model the numbers of hours of daylight in
Seward, Alaska (60° latitude), and New Orleans, Louisiana (30° latitude).
D = 12.26.4 cos [ n(t + 0.2)/182.6] Seward, Alaska
D = 12.2 - 1.9 cos [ n(t + 0.2)/182.6 ] New Orleans, Louisiana
In these models, D represents the number of hours of daylight and t represents the day, with t=0
corresponding to January 1.
Questions:
GE
Find the amount of light Seward receives on March 1. (Assume it is not a leap year.)
Which city has the greater variation in the number of hours of daylight? Which constant
in each model would you use to determine the difference between the greatest and least
numbers of hours of daylight?
● Determine the period of each model.
Find the days of the year on which both cities receive the same amount of daylight.
J
| 4 TI 5|1
= = =
1
21
amazon
kw
Transcribed Image Text:sions Help Last edit was seconds ago 11 + BIUA ial ● 1 ● T ● P 4 23 Given information: The number of hours of daylight that occur at any location on Earth depends on the time of year and the latitude of the location. The equations below model the numbers of hours of daylight in Seward, Alaska (60° latitude), and New Orleans, Louisiana (30° latitude). D = 12.26.4 cos [ n(t + 0.2)/182.6] Seward, Alaska D = 12.2 - 1.9 cos [ n(t + 0.2)/182.6 ] New Orleans, Louisiana In these models, D represents the number of hours of daylight and t represents the day, with t=0 corresponding to January 1. Questions: GE Find the amount of light Seward receives on March 1. (Assume it is not a leap year.) Which city has the greater variation in the number of hours of daylight? Which constant in each model would you use to determine the difference between the greatest and least numbers of hours of daylight? ● Determine the period of each model. Find the days of the year on which both cities receive the same amount of daylight. J | 4 TI 5|1 = = = 1 21 amazon kw
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