A plane flies at a speed of 250 km/h relative to still air. There is a wind

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A plane flies at a speed of 250 km/h relative to still air. There is a wind blowing at 80 km/h in the northeast direction at exactly 45° to the east of north.

(a) In what direction should the plane head so as to fly due north?

(b) What is the speed of the plane relative to the ground?

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