# Problem: An airplane pilot sets a compass course due west and maintains an airspeed of 218 km/h . After flying for a time of 0.500 h , she finds herself over a town a distance 123 km west and a distance 17 km south of her starting point.Find the magnitude of the wind velocity.Find the direction of the wind velocity.If the wind velocity is 41 km/h due south, in what direction should the pilot set her course to travel due west? Use the same airspeed of 218 km/h .

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###### Problem Details

An airplane pilot sets a compass course due west and maintains an airspeed of 218 km/h . After flying for a time of 0.500 h , she finds herself over a town a distance 123 km west and a distance 17 km south of her starting point.

Find the magnitude of the wind velocity.

Find the direction of the wind velocity.

If the wind velocity is 41 km/h due south, in what direction should the pilot set her course to travel due west? Use the same airspeed of 218 km/h .

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