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Providing that the base is on a level surface you can use Pythagoras' theorem:

82+52 = length of wire squared which is 89

Square root of 89 is 9.433981132

So the length of the wire is 9.433981132 feet or 9 feet to one significant figure.

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Q: The wire is stretched from the top of an 8 ft pole to a bracket 5ft from the base of the pole how long is the wire?
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