In: Advanced Math
1. Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the high temperature of 65 degrees occurs at 4 PM and the average temperature for the day is 60 degrees. Find the temperature, to the nearest degree, at 6 AM.
------degrees
2. Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the temperature varies between 62 and 88 degrees during the day and the average daily temperature first occurs at 10 AM. How many hours after midnight, to two decimal places, does the temperature first reach 72 degrees?
-----hours
3. A Ferris wheel is 20 meters in diameter and boarded from a platform that is 4 meters above the ground. The six o'clock position on the Ferris wheel is level with the loading platform. The wheel completes 1 full revolution in 6 minutes. How many minutes of the ride are spent higher than 20 meters above the ground?
------minutes.