An airplane is asked to stay within a holding pattern near Chicago's O'Hare International Airport. The function $d(z) = 64 \sin(0.65z) + 160$ represents the distance, $d$, in miles, of the airplane from the airport at time, $z$, in minutes.
A) When the plane enters the holding pattern, $z = 0$, how far is it from O'Hare?
When the plane enters the holding pattern, the plane is miles.
B) During the first 20 minutes after the plane enters the holding pattern, at what time $z$ is the plane exactly 175 miles from the airport? Round to the nearest thousandth.
The time when the plane is exactly 175 miles from the airport are { }
C) During the first 20 minutes after the plane enters the holding pattern, at what time, $z$, is the plane more than 175 miles from the airport?
The plane is more than 175 miles from the airport during these interval
