I'm not real clear on the orientation of things. Can you provide a picutre of a much better description of the situation?

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- October 2nd 2007, 07:59 PM #1
## Another problem

Ok, I suck at word problems, but I have to get this done. I'm going to post the whole thing, but I probably only need the equation. After that, I should be able to do it.

A rope is to be streched at uniform height from a tree to a fence, 20 feet from the tree, and then to the side of a building, 35 feet from the tree, at a point 30 feet from the fence.

a. If 63 feet of rope is to be used, how far from the building wall should the rope meet the fence?

b.How far from the building wall should the rope meet the fence if as little rope as possible is to be used?

It's not very good, but this is the best I can do:

Again, thanks in advance.

- October 2nd 2007, 08:24 PM #2

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- October 2nd 2007, 08:44 PM #3

- October 3rd 2007, 05:53 AM #4

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Very nice. The first part required only the Pythagorean Theorem and some algebra. If "x" is the desired distance form the building to the fence tie, we have:

Unfortunately, it appears the answer may not be unique. You tell me what to do about that.

For the minimum, since you have posted in a generic place, I can't know what methods you are to use. Are we up to calculus or have we only analytic geometry on our side?

- October 3rd 2007, 11:26 AM #5

- October 3rd 2007, 08:27 PM #6

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