A man faces towards north. Turning to his right, he walks 25 metes. He then…
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A man faces towards north. Turning to his right, he walks 25 metes. He then turns to his left and walks 30 metres. Next, he moves 25 metres to his right. He then turns to his right again and walks 55 metres. Finally, he turns to the right and moves 40 metres. In which direction is he from his starting point ?
- A.
northeast
- B.
north
- C.
South-west
- D.
South-east
Attempted by 38 students.
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Correct answer: D
The man started walking towards the north direction. He then turned to his right and walked 25 meters.
After that, he turned to his left and walked 30 meters.
Next, he moved back to his right and walked 25 meters.
Then, he turned to his right again and walked 55 meters.
Finally, he turned to his right and walked 40 meters.
If we trace his movements on a map, we can see that he has completed a rectangle with sides of length 25 meters and 55 meters.
The direction he is from his starting point is the direction of the diagonal of this rectangle.
Using the Pythagorean theorem, we can calculate the length of this diagonal as follows: 61.24 m
Therefore, the man is 61.24 meters away from his starting point in the direction of the diagonal of the rectangle, which is south-east