In the classic novel don quixote, the title character famously battles a
windmill. in this problem, you will model what happens when don
quixote battles a windmill, and the windmill wins. suppose the center
of the windmill is 20 feet off the ground, and the sails are 15 feet long.
don quixote is caught on a tip of one of the sails. the sails are turning
at a rate of one counterclockwise rotation every 60 seconds.
a. explain why a sinusoidal function could be used to model don
quixote’s height above the ground as a function of time.
b. sketch a graph of don quixote’s height above the ground as a
function of time. assume = 0 corresponds to a time when he
was closest to the ground. what are the amplitude, period, and
midline of the graph?
c. model don quixote’s height hh above the ground as a function of
time since he was closest to the ground.
d. after 1 minute and 40 seconds, don quixote fell off the sail and
straight down to the ground. how far did he fall?