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The house of a man is facing towards south. From the front door of the house, the man starts walking…

The house faces south, so leaving the front door he walks 20 m south, then turning left he goes 50 m east, then turning right he goes 80 m south again. His displacement is…

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The house of a man is facing towards south. From the front door of the house, the man starts walking and after walking for 20 meters straight, he turns to his left and walks for 50 meters. After this the man turns to his right and walks for 80 meters and stops there. Find the distance from the point where the man stops to the front door of his house.

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The house faces south, so leaving the front door he walks 20 m south, then turning left he goes 50 m east, then turning right he goes 80 m south again. His displacement is 100 m south and 50 m east. The distance is 1002+502=12500=505\sqrt{100^2+50^2}=\sqrt{12500}=50\sqrt{5} m.

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