Answer:
Let ?O? be the reference point (i.e. house) and ?C? be the field.
(a) Total distance travelled by the man = 50m + 40m + 20m = 110m
(b) From the fig. OC represents the displacement of the man
\[=O{{C}^{2}}+O{{P}^{2}}+P{{C}^{2}}=\sqrt{{{40}^{2}}+{{30}^{2}}}=\sqrt{2500}=50m\]
The displacement of the man is 50m north east.
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