Concept explainers
(a)
To find: The angle of inclination for Brownsville on the first day of summer (day 172) and on the first day of winter (day 355), if the latitude of Brownsville, Texas is
(a)
Answer to Problem 31E
Explanation of Solution
Given information: The sun’s angle of inclination at noon equals
Calculation:
Angle of inclination =
Where L is the latitude and N is the number of days into the year (out of 365)
For Brownsville, Texas
First day of summer, N = 172
For the first day of winter N = 355
(b)
To find: The angle of inclination for Nome on the first day of summer and on the first day of winter, if the latitude of Nome, Alaska, is
(b)
Answer to Problem 31E
Explanation of Solution
Given information: The sun’s angle of inclination at noon equals
Calculation:
Angle of inclination =
Where L is the latitude and N is the number of days into the year (out of 365)
For Nome, Alaska
First day of summer, N = 122
For the first day of winter N = 355
(c)
To find: city that has the greater change in the angle of inclination.
(c)
Answer to Problem 31E
Explanation of Solution
Given information: The sun’s angle of inclination at noon equals
Calculation:
Texas change:
Alaska change:
Thus,
Chapter 5 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
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