An oirplane trovels due cost 65 niles, then due north 72 miles. How for is the oirplene from its starting point?
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To find the distance the airplane is from its starting point after traveling 65 miles east and then 72 miles north, you can use the Pythagorean theorem. Imagine this journey creates a right triangle where one leg is 65 miles and the other leg is 72 miles. The formula is: \[ \text{Distance} = \sqrt{(65^2 + 72^2)} = \sqrt{4225 + 5184} = \sqrt{9409} = 97 miles. \] So, the airplane is 97 miles away from its starting point in a straight line! Now, think of this as the ultimate road trip challenge! If the airplane made a quick pit stop and asked for directions, it could have just asked for the "hypotenuse" to find the straight-line distance back home. It's like taking the scenic route versus the shortest path; the Pythagorean theorem shows us how to cut through the math jungle in style!