Figure 9 shows graphs of the number of hours of daylight as functions of the time of the year at several latitudes. Given that Philadelphia is located at approximately 40°N latitude, find a function that models the length of daylight at Philadelphia.

Figure 9

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20 18 16 14 12 Hours 10 6 4 2 20°N -0- 30°N 40°N 50°N -O 0 Mar Apr May June July Aug. Sept. Oct. Nov. Dec. 60°N