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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=576324
BC2=252
BC=67m
Therefore, the distance from the base is \(6\sqrt{7}m\).


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