A) 3 km in the North
B) 3 km in the East
C) 4 km in the East
D) 4 km in the West
Correct Answer: B
Solution :
The villager moves from his village at O to his uncle's village at A and thereon to his father-in-law's village at B. clearly, A ABO is right angled at B. So, \[O{{A}^{2}}=O{{B}^{2}}+A{{B}^{2}}\] \[\Rightarrow \] \[O{{B}^{2}}=O{{A}^{2}}-A{{B}^{2}}\] \[\Rightarrow \] \[OB=\sqrt{(25-16)km}\] \[=(\sqrt{9})km=3km\] Thus, B is 3 km to the East of his initial position O.You need to login to perform this action.
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