physics
posted by Sally on .
What vector represents the displacement of a person who walks 15 km at 45 degrees south of east, then 30 km due west?

First find East component of each
15 cos 45  30
Now find south component of each
15 sin 45 + 0
so
East = 19.4 or 19.4 West resultant
South = 10.6
tangent of angle south of West (quadrant 3) = 10.6/19.4 = .547
tan^1 .547 = 28.7 degrees South of West
magnitude = sqrt (19.4^2+10.6^2)