An airplane flying at an altitude of 6 miles passes directly over a radar antenna. When the airplane is 10 miles away (s=10) the radar detects the distance s is changing at a rate of 240 miles per hour. What is the speed of the airplane?
An airplane flying at an altitude of 6 miles passes directly over a radar antenna. When the airplane is 10 miles away (s=10) the radar detects the distance s is changing at a rate of 240 miles per hour. What is the speed of the airplane?
Let the horizontal distance of the plane be x at time t.
.... (1)
.... (2)
Use equation (1) to solve for when . You're given miles per hour when miles. Substitute all this into equation (2).