Answer to Question #241833 in Physics for Charlie

Question

You found a treasure map,and it's said: Staring at well walk 30m north, 20m 30°N of East, 15m 18° south of west,and finally 10m north. How far is the treasure map from the well?

Answer 1

The distance is

$$R_N=30+20\sin30°-15\sin18°+10=45.4\text{ m},\\ R_E=20\cos30°-15\cos18°=-4.27\text{ m},\\ R=\sqrt{(R_N)^2+(R_E)^2}=46\text{ m}.$$