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Real-World Applications of Trigonometric Functions, Page 3

Real-World Application Using the Sine Function (continued)

To find the amount of daylight hours in Center City on May 30th, use t = 5.5 in your sine function because May 30th is half a month past May 15th, which is represented in the given table by t = 5.

f(t) = 1.68 sin(pi/6 t - 1.68) + 12.21; f(t) = 1.68 sin(pi/6(5.5) - 1.68) + 12.21; f(t) is approximately 13.78

On May 30th, Center City will have about 13.78 hours of daylight.