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Sonu walked 25 m towards south and then took a left turn and walked 45 m. Again he took a left turn and walked 25 m. Finally he turned to his right and walked 20 m and stopped. How far and in which direction is Sonu from starting point?

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Answer
65 m, East
Step 1: Define the starting point and directions. Let the starting point be the origin . North is in the positive y-direction. South is in the negative y-direction. East is in the positive x-direction. West is in the negative x-direction.
Step 2: Trace Sonu's movements.
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Sonu walked 25 m towards south. Current position: . Direction: South.
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Then took a left turn and walked 45 m. From South, a left turn is East. Movement: 45 m East. Current position: . Direction: East.
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Again he took a left turn and walked 25 m. From East, a left turn is North. Movement: 25 m North. Current position: . Direction: North.
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Finally he turned to his right and walked 20 m. From North, a right turn is East. Movement: 20 m East. Current position: . Direction: East.
Step 3: Determine the final distance and direction from the starting point. The final position is . The starting point was . The distance from the starting point is the magnitude of the displacement vector from to . Since the final position is , which is along the positive x-axis relative to the origin, the direction is East.
Sonu is from the starting point.
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Define the starting point and directions. Let the starting point be the origin (0,0).