2. Summer solstice is the day when the sun travels the longest path through the sky, and that day therefore has the most daylight. On the other hand, winter solstice is the day when the sun travels the shortest path through the sky, and that day therefore has the least daylight and the longest night. Consider the data given below: Hours of Sunlight Date Day of the Year 22.13 Summer Solstice 172 (June 21) Winter Solstice 355 6.08 (December 21) a) Model a sinusoidal equation that determines the number of sunlight hours on the nth day of the year. b) Solve for the number of sunlight hours on September 21. c) Sketch a sinusoidal graph of the modelled equation highlighting key points starting from Day 1 to Day 365 on any given non-leap year. d) Determine algebraically the dates when there are exactly just 12 sunlight hours. Locate these dates on the graph in part c).
2. Summer solstice is the day when the sun travels the longest path through the sky, and that day therefore has the most daylight. On the other hand, winter solstice is the day when the sun travels the shortest path through the sky, and that day therefore has the least daylight and the longest night. Consider the data given below: Hours of Sunlight Date Day of the Year 22.13 Summer Solstice 172 (June 21) Winter Solstice 355 6.08 (December 21) a) Model a sinusoidal equation that determines the number of sunlight hours on the nth day of the year. b) Solve for the number of sunlight hours on September 21. c) Sketch a sinusoidal graph of the modelled equation highlighting key points starting from Day 1 to Day 365 on any given non-leap year. d) Determine algebraically the dates when there are exactly just 12 sunlight hours. Locate these dates on the graph in part c).
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter29: Tolerance, Clearance, And Interference
Section: Chapter Questions
Problem 20A: Mating parts are shown in Figure 29-16. The pins in the top piece fit into the holes in the bottom...
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Transcribed Image Text:2. Summer solstice is the day when the sun travels the longest path through the sky, and that day therefore has the most
daylight. On the other hand, winter solstice is the day when the sun travels the shortest path through the sky, and that
day therefore has the least daylight and the longest night. Consider the data given below:
Hours of Sunlight
Date
Day of the Year
22.13
Summer Solstice
172
June 21)
355
6.08
Winter Solstice
(December 21)
a) Model a sinusoidal equation that determines the number of sunlight hours on the nth day of the year.
b) Solve for the number of sunlight hours on September 21.
c) Sketch a sinusoidal graph of the modelled equation highlighting key points starting from Day 1 to Day 365 on
any given non-leap year.
d) Determine algebraically the dates when there are exactly just 12 sunlight hours. Locate these dates on the
graph in part c).
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