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A plane is headed due west with an air speed of 212 km/hr. It is driven from its course by a wind from due north blowing at 23.6 km/hr. Find the ground speed of the plane and the actual direction of travel.
I'm not sure how to complete this problem correctly. Here is what I have so far:
Vw=-23.6j Vp=-212i
Vtotal=-212i+-23.6j
tan(theta)=23.6/212 --> theta=6.35 degrees
The plane is heading West of South at 6.35 degree. But How do I calculate the ground speed of the plane? Please help!