Keerthana
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Satish start from A and walks 2 km east upto B and turns southwards and walks 1 km upto C. At C he turns to east and walks 2 km upto D. He then turns northwards and walks 4 km to E. How far is he from his starting point ?

a

5 km

b

6 km

c

3 km

d

4 km

Answer : Option A
Explanation :

Required distance AE=(AF)2+(EF)2\mathrm{AE}=\sqrt{(\mathrm{AF})^{2}+(\mathrm{EF})^{2}}

=(4)2+(3)2=16+9=25=5 km=\sqrt{(4)^{2}+(3)^{2}}=\sqrt{16+9}=\sqrt{25}=5 \mathrm{~km}

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