A plane is flying 700 km/hr to the east into a head wind that is moving at 20 km/hr west. Calculate the planes velocity.

Since the plane velocity and the wind velocity form a right triangle when added together in head-to-tail fashion, the angle between the resultant vector and the southward vector can be determined using the sine, cosine, or tangent functions. The tangent function can be used; this is shown below:

Explanation:

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