7.6 Exercise 39

Construct a sinusoidal function with the provided information, and then solve the equation for the requested values.

Outside temperatures over the course of a day can be modeled as a sinusoidal function. Suppose the temperature varies between $47 °\text{F}$ and $63 °\text{F}$ during the day and the average daily temperature first occurs at 10 AM. How many hours after midnight does the temperature first reach $51 °\text{F}?$