Question

A 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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Solution

Let AB be the pole and AC be the wire. By applying Pythagoras theorem, AC2=AB2+BC2 242=182+BC2 BC2=576−324 BC2=252 BC=6√7m Therefore, the distance from the base is $$6\sqrt{7}m$$.

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