Study the following information carefully and answer the given questions:
A boy who is facing north walks 5 m towards his left from point A and reaches at point B. Now he walks 8 m south direction and reaches at point
What is the shortest distance between his starting point and ending point?
C. From point C he takes three consecutive right turns 2 m, 4 m and 7 m respectively and reaches at point G. From point G he takes his right turn and reaches at point H after cover 4 m.
Correct Answer :
8 m
Solution :
The correct option is 8 m.
Step-by-Step Explanation:
Let us trace the path of the boy starting from point A step-by-step:
1. Start at Point A:
The boy is initially facing North at point A. Let the coordinates of point A be .
2. Movement to Point B:
He turns to his left from North, which means he moves West by 5 m to reach point B.
Position of B: .
3. Movement to Point C:
From B, he walks 8 m in the South direction to reach point C.
Position of C: .
4. Three Consecutive Right Turns:
- Facing South at point C, a right turn means moving West. He moves 2 m West to point D.
Position of D: .
- Facing West at point D, a right turn means moving North. He moves 4 m North to point E.
Position of E: .
- Facing North at point E, a right turn means moving East. He moves 7 m East to point G.
Position of G: .
5. Movement to Point H (Ending Point):
Facing East at point G, he takes a right turn (which is South) and walks 4 m to reach point H.
Position of H: .
Calculating the Shortest Distance between Starting Point (A) and Ending Point (H):
- Starting point A is at .
- Ending point H is at .
The shortest distance is the straight-line distance along the vertical axis:
Therefore, the shortest distance between his starting point and ending point is 8 m.
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