question_answer

Vijay walks 10 kilometres towards North. From there, he walks 6 kilometres towards             South. Then, he walks 3 kilometres towards East. How far and in which direction is he with reference to his starting point?

A) 5 kilometres West           

B) 5 kilometres North-east

C) 7 kilometres East 

D)                 7 kilometres West

Correct Answer: B

Solution :

Explanation: The movements of Vijay are as shown in (A to B, B to C and C to D). \[AC=\left( AB-BC \right)=\left( 10-6 \right)\text{ }km=4\text{ }km\] Clearly, D is the North-east of A. Vijay distance from starting point \[A=AD=\sqrt{A{{C}^{2}}}+C{{D}^{2}}\] \[=\,\,\sqrt{{{4}^{2}}}+{{3}^{2}}=\sqrt{25}\,\,=\,\,5\,km\] So, Vijay is 5 km to the North-east of his starting point.