View Full Version : Ladder on wall: find the length of the ladder if....

Janie

06-27-2006, 05:04 PM

The top of the ladder touches the wall at 9 ft

find the length of the ladder if the lenght is 3 ft more than its distance from the wall.

I think is it like this

would it be 15 feet tall?

Denis

06-27-2006, 05:23 PM

The top of the ladder touches the wall at 9 ft

find the length of the ladder if the lenght is 3 ft more than its distance from the wall.

I think is it like this..would it be 15 feet tall?

Yes; but "think" is not sufficient: you need to show HOW, like:

x = distance from wall; then ladder = x + 3, and:

x^2 + 9^2 = (x + 3)^2

If you can't handle that, you need to talk to your teacher...

mcrae

06-27-2006, 06:37 PM

i would have solved this problem so that x=12, but i don't intuitively understand exactly why there are no answers other than 12, can anyone give a good explanation?

tkhunny

06-27-2006, 11:47 PM

Denis did, already.

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