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Question 20
Starting from a point, Suraj walked 20 m south, then he turned left and walked 18 m, he again turned left and walked 18 m, then he turned right and walked 10 m. How far and in which direction is he now from the starting point?
Solution
Let Suraj started from point A and walked 20 m south to reach B, then turned left and walked for 18 m to reach point C, again turned left for 18 m and finally stopped at point E.
Thus, AE = $$\sqrt{(18+10)^2+(20-18)^2}$$
=> $$AE = \sqrt{784+4}=\sqrt{788}$$ m
$$\therefore$$ Suraj is $$\sqrt{788}$$ m in south-east direction from his starting point.
=> Ans - (B)
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