Maths- Directions

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A person moves towards north a distance 20m from point P and reaches at Q. He turns 135 degrees in clockwise direction and goes 40√2m. From here he turns 135 degrees clockwise and goes 25m. How far is he now from his initial position?

(If you could, could you explain with a rough illustration or something-for better understanding?)

Thanks!

  • Maths- Directions -

    sorry, bud -- no illustrations here.

    P is at (0,0) PQ heading is N
    Q is at (0,20) QR heaing is SE
    R is at (40,-20) RS heading is W
    S is at (15,-20)

    PS is thus 25

  • Maths- Directions -

    A PERSON MOVES TOWARDS NORTH A DISTANCE OF 25 M FROM A POINT P AND REACHES AT Q. HE TURNS 135 DEGREE CLOCKWISE AND GOES 25*UNDERROOT 2 (i.e. root 2) M . FROM HERE HE TURNS 135 DEGREE CLOCKWISE AND GOES 20 M

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