Question 35

Manoj walks 12 metres towards north. Then turns right and walk another 12 metres. Then turn right and walks for 7 metres to reach college R. He again turns to his right and walks for 12 metres. What is the straight line distance (in metres) between the starting point and college R?

Solution

Let Manoj start from point O and walks 12 metres towards north to reach P. Then turns right and walk another 12 metres eastwards to reach Q. Then turn right and walks for 7 metres southwards to reach college R. He again turns to his right and walks for 12 metres.

Thus, $$(OR)^2=(OS)^2+(SR)^2$$

=> $$(OR)^2=(5)^2+(12)^2$$

=> $$(OR)^2=25+144=169$$

=> $$OR=\sqrt{169}=13$$ m

=> Ans - (B)


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