A person standing at the end of a room in front of a window 1.1 m high notices that a shoelace climbs in a vertical direction near the outer surface of the window and is out of sight at the upper border of the window; then he returns and At the lower border of the window, it is out of sight. If the total time when the toe of the shoe is exposed is 0.74 seconds, how high is the toe of the shoe higher than the upper edge of the window?

The temperature in gavin's oven is a sinusoidal function of time. gavin sets his oven so that it has a maximum temperature of 280°f and a minimum temperature of 240°. once the temperature hits 280°, it takes 20 minutes before it is 280° again. gavin's cake needs to be in the oven for 30 minutes at temperatures at or above 270°. he puts the cake into the oven when it is at 260° and rising. how long will gavin need to leave the cake in the oven? (round your answer to the nearest minute.)