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The temperature in Winterberg is a sinusoidal function in time. 120 days ago, the temperature was...

The temperature in Winterberg is a sinusoidal function in time. 120 days ago, the temperature was at its maximum value of 55◦F. The tempearture has been falling since then, and 20 days from today it will reach its minimum value of 10◦F.

(a) Write a function f(t) in sinusoidal standard form for the temperature in Winterberg, in Fahrenheit, t days from today

b)People can only ski when the temperature is below 28◦F. Over the next 700 days (starting today), for how many days is it cold enough to ski? You can round all your answers to the nearest day.

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