Answer to Question #166188 in Physics for gibson mkandawire

Question

Mr. James gives a map to a first student studying Fisheries and Aquaculture so that she gets to the new fish ponds. The map says, ‘start from the central administration car park, go 125m straight north, then 200m at 45^o north of east, then 150m straight east, and finally, 30m at 30^o east of south’. How far from the central administration car park and in what direction are the fish ponds?

Answer 1

$$s_x=200\cos{45}+150+30\sin{30}=306.42\ m\\ s_y=125+200\sin{45}-30\cos{30}=240.44\ m$$

$$s=\sqrt{306.42^2+240.44^2}=389.5\ m\\ \theta=\arctan{\frac{240.44}{306.42}}=38.1\degree \text{ N of E}$$