Directions : There are three different routes for Arti to reach her school.
If Arti selects route 1, then she will have to start from point A and move 2m to the north to reach point B. From point B, she will have to turn to her right and travel for another 8m to reach point C. Point D is 5m to the north of point C. Point D is 4m to the west of Arti's school.
If Arti selects route 2, then she will have to start from point Z. From point Z, she will have to move 9m to the north, then turn to her right and walk 6m to reach point X. Point W is 7m to the north of point X. From point W, she will have to walk 2m to her left to reach point V, and then again walking for another 5m towards the north, she will reach her school.
If Arti selects route 3, then she will have to start from point L. Point L is 8m to the south of point K which is 11m to the east of point X.
Had point K been 11m to the east of point W, then what would have been the direction and shortest distance of point K with respect to point B?
1.East, 21m
2.East, 25m
3.West, 25m
4.West, 21m
5.East, 26m
Correct Answer : 2
Solution :
If Arti selects route 1, then she will have to start from point A and move 2m to the north to reach point B. From point B, she will have to turn to her right and travel for another 8m to reach point C. Point D is 5m to the north of point C. Point D is 4m to the west of Arti's school.
If Arti selects route 2, then she will have to start from point Z. From point Z, she will have to move 9m to the north, then turn to her right and walk 6m to reach point X. Point W is 7m to the north of point X. From point W, she will have to walk 2m to her left to reach point V, and then again walking for another 5m towards the north, she will reach her school.
If Arti selects route 3, then she will have to start from point L. Point L is 8m to the south of point K which is 11m to the east of point X.
This is the final arrangement.
Point K would have been to the east of point B and shortest distance = 8 + 4 + 2 + 11 = 25m
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