SOLUTION: Two airplanes leave an airport at the same time and at a 90° angle from each other.Both planes fly at the same altitude, one at 120 mph and the other at 140 mph. To the nearest ten

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Question 1086186: Two airplanes leave an airport at the same time and at a 90° angle from each other.Both planes fly at the same altitude, one at 120 mph and the other at 140 mph. To the nearest tenth of a mile, how far are the planes from each other after 3 hours?
Answer by htmentor(1343) About Me  (Show Source):
You can put this solution on YOUR website!
The planes travel at right angles to each other for 3 hours.
The distance traveled by plane 1 after 3 hours is 120 mph* 3 h = 360 mi
The distance traveled by plane 2 after 3 hours is 140*3 = 420 mi
Their distance apart is the hypotenuse of a right triangle with legs 360 and 420.
Thus the distance is sqrt(360^2 + 420^2) = 553.2 miles