Correct Answer: Option CHint: By drawing a rough figure we can find the direction of displacement of the person, magnitude can be found by using the Pythagoras theorem.Explanation of Correct Option:Let \\\\(AB\\\\) be the displacement of the person towards the North, \\\\(BC\\\\) be the displacement towards the south and \\\\(CE\\\\) be the displacement in the South-West direction. We have to find the displacement of the person from the origin, \\\\(EA\\\\)Consider the right triangle \\\\(ECD\\\\), by Pythagoras theorem\\\\(ED^{2}+CD^{2}=EC^{2}\\rightarrow(i)\\\\)From fig, \\\\(CD=AB=30m\\\\)\\\\(EC=30\\sqrt{2}m\\\\)\\\\(ED=EA+AD\\\\)\\\\(AD=BC=20m\\\\)\\\\(\ herefore ED= EA+20m\\\\)\\\\((i)\\rightarrow(EA+20)^{2}+(30)^{2}=(30\\sqrt{2})^{2}\\\\)\\\\((EA+20)^{2}+900=1800\\\\)\\\\(EA+20=30\\\\)\\\\(EA=10m\\\\)The displacement of the person from the origin will be \\\\(10m\\\\) along West.