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Question 20
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?
Solution
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 = $$\sqrt{(10)^2+(10)^2}=\sqrt{100+100}$$
= $$\sqrt{200}=10\sqrt2$$ km
Thus, AE = $$5+5+10\sqrt2=10+10\sqrt2$$ km
=> Ans - (A)
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