# 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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