The number of hours of​ daylight, H, on day t of any given year​ (on January​ 1, tequals​1) in a particular city can be modeled by the function ​H(t)equals13 plus 8.2 sine [StartFraction 2 pi Over 365 EndFraction (t minus 77 )]. a. March 18​, the 77th day of the​ year, is the spring equinox. Find the number of hours of daylight in the city on this day. b. June 18​, the 169th day of the​ year, is the summer​ solstice, the day with the maximum number of hours of daylight. Find the number of hours of daylight in the city on this day. c. December 18​, the 352nd day of the​ year, is the winter​ solstice, the day with the minimum number of hours of daylight. Find the number of hours of daylight in the city on this day.

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