Question 119

A man starts from a point and moves 3 km North, then turns to West and goes 2 km. He turns North and walks 1 km and then moves 5 km towards East. How far is he from the starting point?

Solution

Let the man started from point A and travelled north to reach B for 3 km, then turned west towards point C after travelling 2 km, then again travelled north for 1 km and finally stopped at point E.

Thus, $$(AE)^2 = 4^2+3^2$$

=> $$(AE)^2=16+9=25$$

=> $$AE=\sqrt{25}=5$$ km

=> Ans - (D)


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