Gopal is looking for his wife Shilu. He went 90 metres in the east before turning to his right. He went 20 metres before turning to his right again. He walked 30 metres further to look for Shilu at his uncle’s place, but was told that Shilu has already left. Disappointed he went 100 metres to his north before meeting Shilu. How many metres did Gopal walk to meet his wife from the starting point?
The path of Gopal will look like as shown in figure.
Gopal started from A and went 90 meters to reach B(in the east direction).
Later, he went 20 meters from B to C by turning right(in the south direction).
Later, he went 30 meters from C to D by turning right(in the west direction).
D is the location of Shilu's uncle's house.
=> He went from D to F 100 meters(in the north direction).
Gopal met Shilu at point F.
Therefore, from starting point distance between A and F = $$\sqrt{\left(60\right)^2+\left(80\right)^2}$$
=> $$\sqrt{3600+6400}$$ = 100 meters.
The answer is option D.
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