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Introductory Physics Homework Help
How do I do this trigonometry vector calculation?
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[QUOTE="Jan Berkhout, post: 6031975, member: 643132"] [h2]Homework Statement [/h2] A pilot wishes to fly at maximum speed due north. The plane can fly at 100km/h in still air. A 30km/h wind blows [B]from [/B]the south-east. Calculate: a) The direction the plane must head to fly north. b) Its speed relative to the ground. [h2]Homework Equations[/h2] Sine Rule: a/SinA=b/SinB=c/SinC Cosine Rule: a[SUP]2[/SUP]=b[SUP]2[/SUP]+c[SUP]2[/SUP]-2acCosA [h2]The Attempt at a Solution[/h2] I attached a photo because I didn't know how to do maths on here. The answer I got was 9.93 degrees and 123km/h [ATTACH=full]228475[/ATTACH] [URL]https://pasteboard.co/HwvgTjt.png[/URL] The answers from the sheet I'm working off say 12.24 degrees and 119km/h. And I don't understand how their way is correct. To get the angle they did: sin45/100=sinθ/30 If 100 is the planes speed it wouldn't be opposite to the angle of the direction of the wind. [/QUOTE]
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Introductory Physics Homework Help
How do I do this trigonometry vector calculation?
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