How to Find the Y-Component of a Plane's Velocity with Respect to the Ground

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To find the y-component of a plane's velocity with respect to the ground, the pilot must consider both the plane's airspeed and the wind's effect. The plane is pointed 28.9° north of east, while the resultant ground velocity is 56.6° north of east. The airspeed of the plane is 128 m/s, and the wind is blowing from east to west, affecting the overall velocity direction. A diagram illustrating the vectors involved is essential for visualizing the problem and calculating the components. Participants are encouraged to upload their attempts to receive more targeted assistance.
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A wind is blowing directly from east to west. The pilot of a small plane finds that if he points the nose of the plane 28.9 ° north of east, his velocity with respect to the ground is in the direction 56.6 ° north of east. The speed of the plane with respect to the air is 128 m/s. Taking North to be the y-direction and East to be the x-direction, what is the y-component of plane's velocity with respect to the ground?

Attempt - I've tried this so many times, but I can't figure out how to properly draw the diagram for this so that it works out.
 
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scorks said:
A wind is blowing directly from east to west. The pilot of a small plane finds that if he points the nose of the plane 28.9 ° north of east, his velocity with respect to the ground is in the direction 56.6 ° north of east. The speed of the plane with respect to the air is 128 m/s. Taking North to be the y-direction and East to be the x-direction, what is the y-component of plane's velocity with respect to the ground?

Attempt - I've tried this so many times, but I can't figure out how to properly draw the diagram for this so that it works out.

Upload your drawing so far so that we can help you. You *must* show your attempt at working the problem before we can offer tutorial help. That's in the Rules link at the top of the page.
 
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