The city of Whitehorse, Yukon, receives its maximum amount of sunlight of 19.15 hrs on June 21 and its least amount of sunlight of 5.62 hrs on December 21. a. Due to the earth's revolution about the sun, the hours of daylight function is periodic. Determine an equation that can model the hours of daylight function for Windsor, Ontario. b. On what day(s) can Whitehorse expect 13.5 hours of sunlight?
- print Print
- list Cite
Expert Answers
briefcaseTeacher (K-12)
calendarEducator since 2011
write3,062 answers
starTop subjects are Math, Science, and Business
We are given that there are a maximum of 19.15 hours of sunlight on June 21 (day 172) and a minimum of 5.62 hours on December 21 (day 355.) We are told that the underlying function is periodic, and we are asked to find an equation for the model and to determine the day(s) when there are 13.5 hours of sunlight.
The model will be a sinusoid (a sine function, cosine function, or some combination). Thus the equation will be
`y=asin(b(x-h))+k " or " y=acos(b(x-h))+k`
where a represents the amplitude, b the transformation for the period, h the phase shift (horizontal...
(The entire section contains 290 words.)
Unlock This Answer Now
Start your 48-hour free trial to unlock this answer and thousands more. Enjoy eNotes ad-free and cancel anytime.
Related Questions
- In 2001, Windsor, Ontario received its maximum amount of sunlight, 15.28 hrs, on June 21, and...
- 1 Educator Answer
- In 2001, Windsor, Ontario received its maximum amount of sunlight, 15.28 hrs, on June 21,...
- 1 Educator Answer
- A model for the number of hours of daylight (in hours) in Philadelphia on the tth day of the year...
- 2 Educator Answers
- The amount of daylight a particular location on Earth receives on a given day of the year can be...
- 1 Educator Answer