At a given moment, a plane passes directly above a radar station at an altitude of 5 miles.

(a) If the plane's speed is 500 mph, how fast is the distance between the plane and the station changing half an hour later?

(b) How fast is the distance between the plane and the station changing when the plane passes directly above the station?

Question

At a given moment, a plane passes directly above a radar station at an altitude of 5 miles.

(a) If the plane's speed is 500 mph, how fast is the distance between the plane and the station changing half an hour later?

(b) How fast is the distance between the plane and the station changing when the plane passes directly above the station?

anonymous · Answer

So for (a), I made a diagram and got C^2= (5^2)+(250^2), but I'm not sure what to do from here.