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a rope is 120 ft long and the water is 20 ft deep. how far is the anchor from a point directly below the boat?

  • math -

    Use Pythagoras theorem,
    L = √(H²+D²)
    or
    L² = H²+D²

    L=Length of the rope = 120'
    D=Depth = 20'
    H=Horizontal distance of the anchor from the boat

    From
    L² = H²+D²
    we get
    H² = L² - D²
    = 120²-20²
    =14400 - 400
    = 14000
    Horizontal distance
    = √H
    = 118.3'

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