An airplane whose, airspeed is 580 km/h is supposed to fly ina straight pat 38.0

Question

An airplane whose, airspeed is 580 km/h is supposed to fly ina straight pat 38.0 degrees N of E. But a steady 72 km/h wind isblowing from the North. In what direction should the planehead? I have drawn a diagram that I think is good but I can't get iton here, any advise on that? Then I found my X and Y components: vpg= vpg cos() vpa =vpa cos() vag = 0 vpg= vpg sin() vpa =vpa sin() vag = vagsin() using the theorem of pythagoras I found what I hope to beVpa. vpa = (vpg)2+ (vpa)2 = 575.51 km/h Now for the tricky part, I know that in order for the plane togo where it needs to that it should compensate for the wind byheading a bit further north and a bit further south. I am not sure of how to get to that part. This is an oddnumbered problem so the answer is in my book, however I am reallyconflicted as to what to do next when I try to solve for the anglesi get 38 for both cosine angles. I think this means I was doingsomething very wrong. If I could get help with what I should bedoing next that would be great. I need to fully understand thisconcept if I am ever to accomplish this on my own. Get me closeguys but don't give it away. An airplane whose, airspeed is 580 km/h is supposed to fly ina straight pat 38.0 degrees N of E. But a steady 72 km/h wind isblowing from the North. In what direction should the planehead? I have drawn a diagram that I think is good but I can't get iton here, any advise on that? Then I found my X and Y components: vpg= vpg cos() vpa =vpa cos() vag = 0 vpg= vpg sin() vpa =vpa sin() vag = vagsin() using the theorem of pythagoras I found what I hope to beVpa. vpa = (vpg)2+ (vpa)2 = 575.51 km/h Now for the tricky part, I know that in order for the plane togo where it needs to that it should compensate for the wind byheading a bit further north and a bit further south. I am not sure of how to get to that part. This is an oddnumbered problem so the answer is in my book, however I am reallyconflicted as to what to do next when I try to solve for the anglesi get 38 for both cosine angles. I think this means I was doingsomething very wrong. If I could get help with what I should bedoing next that would be great. I need to fully understand thisconcept if I am ever to accomplish this on my own. Get me closeguys but don't give it away.

Explanation / Answer

Thanks for the updated answer, just wondering where did the value of Vw =20m/s come from

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