My Math Forum Quick Question. Angle help! Vector problem

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 August 11th, 2013, 12:04 PM #1 Member   Joined: Aug 2013 Posts: 69 Thanks: 0 Quick Question. Angle help! Vector problem A plane is flying E40N @ a speed of 600km/h. The wind blowing @ 10km/h in the direction N20W. Determine the resultant velocity of the plane. So I get W + V Vectors = 600^2 + 10^2 - 2(600)(10)cos110= ?364204.2417 = 603.49 The angle I am trying to . I use the sine law ; sinAlpha/10= sin110/603.49 = alpha = sin^-1(10sin110)/603.49. = I get an angle of .89 degrees.. I have been trying to figure if I am using the angle of 110 improperly but it seems to check out. Any advice?
 August 11th, 2013, 12:10 PM #2 Member   Joined: Aug 2013 Posts: 69 Thanks: 0 Re: Quick Question. Angle help! Vector problem Oops I guess I can add this to the E40N* . ?
 August 12th, 2013, 01:51 AM #3 Global Moderator   Joined: Dec 2006 Posts: 20,370 Thanks: 2007 Yes, you are correct.

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