physics
posted by Anonymous on .
a man walks 10 meters in a direction of 20 degrees North of East, then 20 meters in a direction due west. What is his total displacement vector in component form

break this problem down to horizontal (x) and vertical (y) components! it'll probably help if you drew the problem out!
horizontal:
(10cos20) meters
20 meters
add the horizontal components together
vertical:
(10sin20) meters
perform Pythagorean theorem
total displacement: sqrt[(horizontal)^2+(vertical)^2]
remember displacement is a vector so it also has direction! to find direction: tan^1(vertical/horizontal) 
opps! I forgot to put a negative in front of 20 meters under the horizontal component.