An air traffic controller spots two airplanes at the same altitude converging to a point as...

  

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An air traffic controller spots two airplanes at the same altitude converging to a point as they fly at right angles to each other. One airplane is 70 miles from the point and has a speed of 280 miles per hour. The other is 240 miles from the point and has a speed of 960 miles per hour. (a) At what rate is the distance between the planes changing? mph (b) How much time does the controller have to get one of the airplanes on a different flight path? h A baseball diamond has the shape of a square with sides 90 feet long (see figure). A player running from second base to third base at a speed of 26 feet per second is 25 feet from third base. At what rate is the player's distance from home plate changing? (Round your answer to two decimal places.) ft/sec 90 f 2nd Home An air traffic controller spots two airplanes at the same altitude converging to a point as they fly at right angles to each other. One airplane is 70 miles from the point and has a speed of 280 miles per hour. The other is 240 miles from the point and has a speed of 960 miles per hour. (a) At what rate is the distance between the planes changing? mph (b) How much time does the controller have to get one of the airplanes on a different flight path? h A baseball diamond has the shape of a square with sides 90 feet long (see figure). A player running from second base to third base at a speed of 26 feet per second is 25 feet from third base. At what rate is the player's distance from home plate changing? (Round your answer to two decimal places.) ft/sec 90 f 2nd Home

Answer rating: 100% (QA)

Solution 1 We can see that the planes in the problem form a right triangle To find the lengths of ea... View the full answer