Kamal starts walking from his home facing West direction. After walking 10 km he takes a right turn and walks another 10 km. He takes another right turn and walks 10 km to reach his school. How far (in km) and in which direction is he from his home?
Correct Answer :
10, North
Solution :
The correct option is 10, North.
Let us break down Kamal's movement step-by-step to determine his final distance and direction from his starting point (home):
Step 1: Starting Point
Let Kamal's home be located at the starting point, which we can represent as the origin (0, 0) on a standard coordinate plane.
Step 2: First Movement (West)
Kamal starts walking from his home facing West. He walks 10 km in this direction.
Since West is to the left on a standard map direction scale (North is up, South is down, East is right, West is left), his position changes along the horizontal axis:
New position = 10 km West from home.
Step 3: Second Movement (Right Turn)
After walking 10 km West, he takes a right turn. Facing West and turning right means he is now facing North.
He walks 10 km in this new direction (North).
New position = 10 km West and 10 km North from home.
Step 4: Third Movement (Right Turn to School)
From facing North, he takes another right turn, which means he is now facing East.
He walks 10 km East to reach his school.
Since he previously walked 10 km West, walking 10 km East brings him directly back in line vertically with his starting point (home).
Final position (School) = 10 km North from home.
Conclusion:
Kamal's school is exactly 10 km away from his home, and it is located in the North direction relative to his home.
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