Aplane is flying due north from atlanta to cincinnati at a velocity of 525 mph. the wind is blowing from the west to the east at a velocity of 65 mph. what is the magnitude and direction of the resultant velocity? a. 529 mph at 83° n of e b. 460 mph at 83° n of w c. 529 mph at 83° n of w d. 460 mph at 83° n of e

Let  be the velocity of the plane.let  be the velocity of the wind.let  be the resultant velocity.add the velocities to find the resultant velocity. in the attached picture, i have done the tail-to-tip method: draw one of the vectors, then add the end of the other vector to the tip of the first drawn vector.see diagram.the magnitude of  can be found via the pythagorean theorem as this is a right angle triangle.to find  , use inverse tangent: since  is in the direction "east of north", a quick convert to "north of east " reveals that 90 - 7.06 = 82.94 = 83.so our resultant is 529 m/s [83° n of e]the answer is a.

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