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A guy wire attached to a vertical pole of height 18 m is 24 m long and has a stake attached to the other end.

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A guy wire attached to a vertical pole of height 18 m is 24 m long and has a stake attached to the other end. How far from the base of the pole should the stake be driven so that the wire will be taut?

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Let OB be the pole and AB be the wire. 

AB2 = OB2 + OA2 

242 = 182 + OA2 

OA2 = 576 - 324 

OA2 = 252 

AO = \(\sqrt{252}\)

AO = 6\(\sqrt7\)m

Distance from base = 6\(\sqrt7\) m

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