1. Riya left home for school. She moved 5 km in the east direction, then she turned towards south-east to move 10 km, again she turned towards north-east to move for another 10 km. From there, she finally moved 5 km towards east to reach her school. How far is she from her home?
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By: anil on 05 May 2019 02.14 am
Let Riya started from point A and moved east for 5 km, then she turned south-east and moved 10 km to reach point C, from there she turned north-east for 10 km and finally stopped at point E. Now, BD = $$sqrt{(10)^2+(10)^2}=sqrt{100+100}$$ = $$sqrt{200}=10sqrt2$$ km Thus, AE = $$5+5+10sqrt2=10+10sqrt2$$ km => Ans - (A)
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