Point A is 11m to the west of Point B. Point C is 8m to the south of Point B. Point C is 1m to the west of Point J. Point J is 12m to the south of Point H. Point D is 11m to the east of Point J. Point E is 6m to the south of Point D. Point F is 17m to the west of Point E. Point G is in the north of Point F and to the west of Point H.
What is the direction of Point G with respect to Point E?
Correct Answer :
North-west
Solution :
The correct answer is North-west.
Let us trace the relative positions of all the points step-by-step using a standard 2D coordinate system where East is along the positive x-axis, West is along the negative x-axis, North is along the positive y-axis, and South is along the negative y-axis.
Let Point B be at the origin (0, 0).
1. Point A: 11m west of Point B.
Position of A = (-11, 0)
2. Point C: 8m south of Point B.
Position of C = (0, -8)
3. Point J: Point C is 1m west of Point J, which means Point J is 1m east of Point C.
Position of J = (0 + 1, -8) = (1, -8)
4. Point H: Point J is 12m south of Point H, which means Point H is 12m north of Point J.
Position of H = (1, -8 + 12) = (1, 4)
5. Point D: 11m east of Point J.
Position of D = (1 + 11, -8) = (12, -8)
6. Point E: 6m south of Point D.
Position of E = (12, -8 - 6) = (12, -14)
7. Point F: 17m west of Point E.
Position of F = (12 - 17, -14) = (-5, -14)
8. Point G: Point G is to the north of Point F (x-coordinate remains -5) and to the west of Point H (y-coordinate remains 4).
Position of G = (-5, 4)
Now, let us find the direction of Point G with respect to Point E:
Comparing coordinates of Point G (-5, 4) relative to Point E (12, -14):
- x-coordinate of G (-5) is to the West of x-coordinate of E (12) since -5 < 12.
- y-coordinate of G (4) is to the North of y-coordinate of E (-14) since 4 > -14.
Therefore, Point G is located in the North-west direction with respect to Point E.
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