1)

Starting from her house , Nisha traveled 8 m towards west, then turned right and traveled 15m.She then traveled 20 m towards east , followed by 20 m to south reach a hostel.How far is her house from the hostel and which direction?


A) 14 m

B) 11 m

C) 15 m

D) 13 m

Answer:

Option D

Explanation:

Direction Sense 

Let A and f be the initial and final positions 

Now AF $= \sqrt{AE^{2}+EF^{2}}$

       AE =CD-BA =20-8 =12m

      EF =DF-DE =DF-CB =20-15 =5 m

 Therefore AF $=\sqrt{144+25}$

                  $=\sqrt{169}$ = 13 m 

               Her house is towards north-west from the hostel