A plane is seen to travel in a direction [S 30 degrees W]. if its ground velocity was 300 km/h and the wind speed is 150 km/h south, what is the plane's velocity relative to the air?
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I can give you a hint:
The plane is flying 300km/h 30deg west of south. It's vertical component (in the southern direction) of its ground velocity is thus 300cos(30).
Let me know if you are still struggling.
You have .
The wind velocity is .
Now use the equation and solve for .
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