question_answer

A lady runs 12 km-towards North then 6km towards South and then 8 km East. How far is she from her starting point and in which direction?

A)  5 km North-East        

B)  5 km East

C)  10 km North-East      

D)  10 km West

Correct Answer: C

Solution :

              \[AD=\sqrt{{{(CD)}^{2}}+{{(AC)}^{2}}}\] \[=\sqrt{{{(8)}^{2}}+{{(6)}^{2}}}\]     \[=\sqrt{64+36}\] \[=\sqrt{100}=10\,\,km\] (North-East)