Answer to Question #139509 in Physics for shane Baardson

Question

Bill walk north for 251 meters and then turns go 16Degrees North of West. Find the magnitude and distance of the resultant vector 

Answer 1

$$\vec{s}=(0,251)+(251\cos{16},251\sin{16})=(241.3,320.2)\ m$$

$$s=\sqrt{241.3^2+320.2^2}=\ 401\ m$$

$$\theta=\arctan{\frac{241.3}{320.2}}=37\degree\text{W of N}$$