Rasika walked 20 m towards north. Then she turned right and walks 30 m. Then she turns right and walks 35 m. Then she turns left and walks 15 m. Finally she turns left and walks 15 m. In which direction and how many metres is she from the starting position?
Question
Rasika walked 20 m towards north. Then she turned right and walks 30 m. Then she turns right and walks 35 m. Then she turns left and walks 15 m. Finally she turns left and walks 15 m. In which direction and how many metres is she from the starting position?
Solution
First, let's visualize Rasika's movements:
- She starts by walking 20 m north.
- She turns right (which would be east if we're assuming she starts facing north) and walks 30 m.
- She turns right again (now facing south) and walks 35 m. At this point, she is 15 m south of her starting position because she walked 35 m south after having previously walked 20 m north.
- She turns left (now facing east) and walks 15 m.
- She turns left again (now facing north) and walks 15 m. This brings her back to the same latitude as her starting position, because she walked 15 m north after being 15 m south of her starting position.
In terms of her longitude, she is 45 m east of her starting position, because she walked 30 m east, then another 15 m east.
So, Rasika is 45 m east of her starting position.
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