An old man starts walking east from point P. He walks 5 m and then turns right from point Q. After walking 4 m, he turns left from point R, then walks 3 m and turns right from point S. He then walks 6 m and turns left from point T. He then walks 8 m and turns right from point U. He then wa

Question

An old man starts walking east from point P. He walks 5 m and then turns right from point Q. After walking 4 m, he turns left from point R, then walks 3 m and turns right from point S. He then walks 6 m and turns left from point T. He then walks 8 m and turns right from point U. He then walks 9 m and turns right from point V and walks 16 m. He then turns left from point W and walks 3 m, then turns left from point X and walks 5 m and stops at point Y. In which direction is point Y with respect to point Q and at what distance?

Accepted Answer

South, 22 m. Starting from Q, the subsequent movements produce a net shift of 22 m in the south direction. Direction-sense questions are solved by resolving each turn into coordinate movements and then finding the resultant from the reference point. Therefore, Y is south of Q by 22 m.

Solution

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