question_answer

A man walks 1 km towards East and then he rums to South and walks 5 km. Again he turns East and walks 2 km, after this he turns to North and walks 9 km. How far he is now from his starting point?

A)  3 km        

B)  4 km

C)  5 km        

D)  7 km

Correct Answer: C

Solution :

The movements of a man are as shown \[EF=\left( DE-DF \right)=\left( 9-5 \right)km=4\text{ }km~~\] BF = CD = 2 km and AF =AB + BF = 3 km \[\therefore \,\,\,~A{{E}^{2}}=\text{ }A{{F}^{2}}+\text{ }E{{F}^{2}}={{3}^{2}}+\text{ }{{4}^{2}}=25~\]\[\Rightarrow ~~\]ZE = 5 km