Answer to Question #133286 in Physics for John

Question

Ana runs 4.00 m, 40.0° north of east;2.00 m, east; 2.00 m, east; 5.20 m, 30.0° south of west; and 6.50 m, south before stopping for water break. Find her resultant displacement from where she started.

Answer 1

$x=4\cdot\cos40°+2+2-5.2\cdot\cos30°=2.56(m)$

$y=4\cdot\sin40°-5.2\cdot\sin30°-6.5=-6.53(m)$

$d=\sqrt{2.56^2+6.53^2}=7.01(m)$