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

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

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

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