A plane is flying due north at 325 km/h and encounters a wind from the south at 45 km/h. What is the plane's new velocity with respect to the ground in standard position? The answers are 270 km/h at 90 degrees. I am trying to figure out how they got this answer.

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A plane is flying due north at 325 km/h and encounters a wind from the south at 45 km/h. What is the plane's new velocity with respect to the ground in standard position? The answers are 270 km/h at 90 degrees. I am trying to figure out how they got this answer.

Physics
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That answer is wrong ... in a wind from the South, the airplane will go faster across the ground! (Northward, of course)

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