Question

# A man walked 3 metre towards North, turned West and walked 2 metre then turned North and walked 1 metre and finally turned East and walked 5 metre. How far is he from the starting point ?

A
5 metre
B
8 metre
C
10 metre
D
12 metre

Solution

## The correct option is B $$5$$ metreLet us consider a Cartesian plane thinking positive X-axis as South, Negative x axis as North, Positive Y-axis as East and Negative as West.A man walked along negative X-axis $$3$$ m and then parallel to negative Y-axis he walked $$2$$ m.And then parallel to negative X-axis he walked $$1$$ m and finally walked $$5$$ m parallel to positive Y-axis and he has coordinates of $$(-4,3)$$.He makes right angle triangle with base AC=4, side AB=3 and hypotenuse BC.$$\therefore$$ by Pythagoras theorem,$$BC^2=AB^2+AC^2$$$$\implies$$ $$BC^2=3^2+4^2$$$$\therefore$$ $$BC=5$$.Hence from origin he is at distance of 5 m.Thus, option A is the correct.Logical Reasoning

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