An airplane flying 390 feet per second at an altitude of 5000 feet flew directly over an observer. Figure 8 shows the relationship of the airplane to the observer at a later time.

(a) Find an equation relating x and y.

(b) Find the value of x when y is 13,000.

(c) How fast is the distance from the observer to the airplane changing at the time when the airplane is 13,000 feet from the observer? That is, what is dy/dt at the time when dx/dt = 390 and y = 13,000?

Transcribed Image Text:

5000 Figure 8 Observer 8 y