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Question -

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



Answer -

Given, a guy wire attached to a vertical poleof height 18 m is 24 m long and has a stake attached to the other end.

Let AB be the pole and AC be the wire.

By Pythagoras theorem,

AC2 = AB2 +BC2

242 = 182 + BC2

BC= 576 – 324

BC= 252

BC = 6√7m

Therefore, the distance from the base is 6√7m.

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