question_answer

Ram started from his house and walked 2 km north, then 3 km west and finally 6 km South. How far is he from his house?

A)  5km                

B)  11 km

C)  4 km               

D)  7 km

Correct Answer: C

Solution :

Here, \[AB=EC=2\,\,km,\,\,ED=CD-DC\] \[BC=AE=3\,\,km\] Now, In \[\Delta AED,AD=\sqrt{{{(AE)}^{2}}+{{(ED)}^{2}}}\] \[=\sqrt{{{(3)}^{2}}+{{(4)}^{2}}}=\sqrt{9+16}\] \[=\sqrt{25}=5\] \[\therefore \]Required distance = AD = 5 km