MATH

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boating
The inclined ramp of a boat launch is 8 meters longer than the rise of the ramp.
The run is 7 meters longer than the rise. How long are the three sides of the ramp?

please explain how to do this one

  • MATH -

    the the rise be x m
    then the run is x+7 m , and the ramp (the hypotenuse) is x+8 m
    then
    x^2 + (x+7)^2 = (x+8)^2
    expand and simplify to
    x^2 - 2x - 15=0

    Can you take it from there?
    (it factors)

  • MATH -

    is this right

    x^2 -2x-15=0
    x^2-1x-1x-15=0
    -1x(-1x+1) -1(-1x+1)

    is this right?

  • MATH -

    no
    x^2 - 2x - 15=0
    (x-5)(x+3)=0
    x = 5 or x =-3
    clearly x has to be positive

    so the height of the ramp is 5, take it from there.

  • MATH -

    ok

    so if the height is 5 then other side would be

    13m and 12m?

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