question_answer

Sonia started from her house and travelled 4 km towards east. Then she turned left and travelled 6 km. Then she turned right and travelled 4 km. Now at what distance is she from starting point?

A)  14 km             

B)  8 km

C)  5 km               

D)         10 km  

Correct Answer: D

Solution :

Required distance \[=AD=\sqrt{{{(AE)}^{2}}+{{(DE)}^{2}}}\] \[=\sqrt{{{(8)}^{2}}+{{(6)}^{2}}}\] \[=\sqrt{64+36}=\sqrt{100}\] \[=10\,\,km\]