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Magnitude and direction of a object: Determine trigonometrically for a plane flying west

Determine trigonometrically the magnitude and direction of the velocity of a plane that is flying west at 100.0km/h with respect to the air while the wind is blowing toward the north at 65.0 km/h relative to he ground.

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I hope you want to say that the absolute velocity of plane is known (100 km/h towards W) and want to estimate the velocity of plane with respect to air blowing at 65km/h towards N.

The solution is as ...

Solution Summary

With good explanations and calculations, the problem is solved.