Sumanth walks $200$ feet straight from his house, which is facing north and then he walks $100$ feet in reverse direction. Further he takes a left turn and walks $300$ yards. In Which direction is Sumanth now from his original position?

South-East

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North-East

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South-West

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North-West

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Solution

The correct option is A North-East
Starting From his house, Sumanth walks $200$ feet straight towards North; we can write it as $N_{200}$ . Similarly, the other distances and directions can be considered and written as follows : (Notice that he covers $300$ yards towards East; one yard $= 3$ feet and hence $300$ yards $= 900$ feet)
$N_{200} S_{100} E_{900}$ Adding all south and all North distances and finding the net result, and also adding all East and all West distances and finding the net result, this can further be summarized as : $N_{100} E_{900}$
Thus, the direction from his original position is North-East.

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Sumanth walks 200 feet straight from his house, which is facing north and then he walks 100 feet in reverse direction. Further he takes a left turn and walks 300 yards. In Which direction is Sumanth now from his original position?

Sumanth walks $200$ feet straight from his house, which is facing north and then he walks $100$ feet in reverse direction. Further he takes a left turn and walks $300$ yards. In Which direction is Sumanth now from his original position?