An 42 kmph wind blows towards 215 degrees while a plane heads towards 125 degrees at 152kmph. What is the resultant velocity of the plane? tenks vry much!!!!!!!!!!!!!!!!!!!

Answer 1

split the vector into components and add them up.

Or, if you're tricky, you can treat the vectors as complex numbers and wolframalpha to do the work. The only trick is remembering that complex numbers measure counterclockwise from east, while headings measure clockwise from north.

http://www.wolframalpha.com/input/?i=42+cis(90%C2%B0-215%C2%B0)+%2B+152+cis(90%C2%B0-125%C2%B0)

Then you can change that complex number back to polar coordinates, then adjust the angle to compass headings again.

I get 157.7 @ 140.5°