In: Math
The temperature in Gavin's oven is a sinusoidal function of time. Gavin sets his oven so that it has a maximum temperature of 290°F and a minimum temperature of 210°. Once the temperature hits 290°, it takes 20 minutes before it is 290° again. Gavin's cake needs to be in the oven for 30 minutes at temperatures at or above 260°. He puts the cake into the oven when it is at 250° and rising. How long will Gavin need to leave the cake in the oven? (Round your answer to the nearest minute.)