A child is looking for his father. He went 90 metres in the East before turning to his right. He went 20 metres before turning to his right again to look for his father at his uncle’s place 30 metres from this point. His father was not there. From here he went 100 metres to the North before meeting his father in a street. How far did the son meet his father from the starting point?
a] 80 metres b] 100 metres c] 140 metres d] 260 metres

• 100 is d ans
• 12 years agoHelpfull: Yes(11) No(8)
• 
  Clearly, the child moves from A to B 90 metres eastwards upto B, then turns right and moves 20 metre upto C, then turns right and moves upto 30 metre upto D. Finally he turns right and moves upto 100 metre upto E.
  
  So AB = 90 metre, BF = CD = 30 metre,
  So, AF = AB - BF = 60 metre
  
  Also DE = 100 metre, DF = BC = 20 metre
  So, EF = DE - DF = 80 metre
  
  as we can see in image that triangle AFE is a right angled triangle and we are having two sides, need to calculate third one, so we can apply Pythagoras theorem here
  
  
  A = sqrt{AF^2 + EF^2}
  = sqrt{(60)^2+(80)^2}
  = sqrt{3600+6400}
  = sqrt{10000} = 100
  So from starting point his father was 100 metres away.
  
• 10 years agoHelpfull: Yes(10) No(0)
• 80^2+60^2=10000
  so ans will be 100 metres
• 12 years agoHelpfull: Yes(8) No(1)
• 100
  100m
  |Q
  |80m
  |
  60m |
  P-----------------90m
  | |
  | | 20m
  | |
  -------
  30m
  sqrt(80^2 + 60^2)=100m(ans)
• 12 years agoHelpfull: Yes(5) No(1)
• Ans will be 100 but how can anyone explain..
• 12 years agoHelpfull: Yes(3) No(1)
• how it will be 100??
• 12 years agoHelpfull: Yes(2) No(3)
• 100...sqrt(80^2+60^2)
• 12 years agoHelpfull: Yes(2) No(0)
• 80^2
  +60^2=100^2
  so 100
• 12 years agoHelpfull: Yes(1) No(0)
• PRIYABRAT PADHY: draw fig as per statement .. then use Pythagoras to get ans 100
• 12 years agoHelpfull: Yes(1) No(1)
• ans is c option
• 12 years agoHelpfull: Yes(1) No(1)
• distance travelled in east and west does'nt matter
  Dist of son from his father from starting point= 100-20=80m
• 9 years agoHelpfull: Yes(1) No(0)
• After 30m he has to take left turn to go north for 100m. so ans is none
• 9 years agoHelpfull: Yes(1) No(0)
• 69.28 is the displacement
  
• 12 years agoHelpfull: Yes(0) No(1)
• |80m
  |
  60m | 30m
  -------------------------------------
  | | 20m
  -------------
  30m
  
  60+80=140m is the answer
• 9 years agoHelpfull: Yes(0) No(1)