A boy travels a distance of 10 m towards south and then he runs towards east and travels 12 m in that direction. Calculate (i) the total distance travelled by the boy and (ii) the displacement from his initial position

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  1. this is a right triangle
    distance is how far he ran 10 + 12 = 22 m
    displacement is how far he is from the start and is a vector so also has direction.
    how far from start = hypotenuse = sqrt (100 + 144) = 15.6 m
    tangent of angle south of east = 10/12
    angle south of east = 39.8 degrees
    If using a compass angle clockwise from north = 90 + 39.8

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