Posted by **jennifer** on Sunday, September 21, 2008 at 1:54pm.

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 -
**Reiny**, Sunday, September 21, 2008 at 3:26pm
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 -
**jennifer**, Sunday, September 21, 2008 at 4:07pm
is this right

x^2 -2x-15=0

x^2-1x-1x-15=0

-1x(-1x+1) -1(-1x+1)

is this right?

- MATH -
**Reiny**, Sunday, September 21, 2008 at 8:25pm
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 -
**jennifer**, Sunday, September 21, 2008 at 9:48pm
ok

so if the height is 5 then other side would be

13m and 12m?

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