Matthew S. answered • 09/10/17

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This is a trig / algebra 2 problem that will have you utilize algebra and the pythagorean theorem. I highly suggest drawing out a triangle. The two sides of the triangle are the distance traveled by each plane, while the hypotenuse is 2229 miles. The northbound plane has flown 3 * (x + 50) miles after 3 hours, where x is the speed of the eastbound plane. The eastbound plane has traveled 3*x miles.

So the sides of the triangle are: side 1 is 3*x + 150 miles, side 2 is 3*x miles, side 3 is 2229 miles.

The three sides must obey the pythagorean theorem (a^2 + b^2 = c^2), so then we plug in (3x + 150)

^{2}+ (3x)^{2}= 2229^{2}.From there it's just expanding and solving. It takes a minute, and you might want to use a calculator.

18x^2 + 900x + 22500 = 4968441