How to Determine the Aircraft's Ground Path Direction?

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To determine the aircraft's ground path direction, the wind speed was calculated to be 16.5 m/s. The aircraft is traveling due south at 44 m/s, while its resultant ground speed is 47 m/s, indicating the influence of the wind. To find the direction of the aircraft's path over the ground, using the law of sines or cosines is recommended. A diagram can aid in visualizing the vectors, as the velocities are perpendicular. Understanding these vector relationships is crucial for solving the problem accurately.
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An aircraft heads due south with a speed relative to the air of 44m/s Its resultant speed over the ground is 47 m/s The wind blows from the west. A) What is the speed of the wind? B) What is the direction of the aircrafts path over the ground?

I figured out a, 16.5 but i don't even know where to start when it comes to b except i know i need to use law of sines or law of cosines...HELP please
 
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PLEASE help me I've been working on this problem for hours
 
The velocities as vectors: vy = -44j. vx = ai
v = vy + vx
|v| = 47

Draw a diagram, and you should be able to easily solve the angle, as vx and vy are perpendicular.
 

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