Mathematics

Mathematics

Problem

An airplane maintains a horizontal speed of 500 km/h due north at a constant altitude of 4 km. At the instant the plane passes directly over an airport, a car begins driving due east from the same airport at 80 km/h. How fast is the straight-line distance between the airplane and the car changing 10 minutes after they start? a) 500 km/h500\text{ km/h} b) 583 km/h583\text{ km/h} c) 505 km/h505\text{ km/h} d) 493 km/h493\text{ km/h}

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