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A guy wire attached to a vertical pole of height 18 m is 24m 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 AB be a guy wire attached to a pole BC of height 18 m. Now, to keep the wire taut let it to be fixed at A. 

Now, In right triangle ABC 

By using Pythagoras theorem, we have 

AB2 = BC2 + CA2 

⇒ 242 = 182 + CA

⇒ CA2 = 576 − 324 

⇒ CA2 = 252 

⇒ CA = 6√7 m 

Hence, the stake should be driven 6 √7m far from the base of the pole.

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