Question 545700
if two planes leave the same airport at 1:00pm, how many miles apart from each other will they be at 3:00 pm if one travels directly north at 150mph and the other travels directly west at 200 mph?


As this scenario forms a right triangle, the value of the hypotenuse of the right triangle will be the distance between the two planes, 2 hours after they left the airport


As seen, the legs are 300 (150 * 2) miles, and 400 (200 * 2) miles. As this represents a special triangle (3,4,5 triangle), the hypotenuse of the right triangle, or the distance between the 2 planes will be 500 miles, OR


With H being the hypotenuse or the distance between them, we get: {{{H^2 = 300^2 + 400^2}}}


{{{H^2 = 90000 + 160000}}}


{{{H^2 = 250000}}}


{{{sqrt(H^2) = sqrt(250000)}}}


H = {{{highlight_green(500)}}} miles, or - 500 (ignore)


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