A guy attached wire to a vertical pole...

A guy attached wire to a vertical pole of height 18m 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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To solve the problem, we need to find the distance from the base of the pole where the stake should be driven so that the wire will be taut. We can use the Pythagorean theorem to solve this problem. ### Step-by-Step Solution: 1. **Identify the components of the triangle**: - Let the vertical pole be represented by line segment AB, where A is the top of the pole and B is the base of the pole. The height of the pole (AB) is 18 m. - Let C be the point where the stake is driven into the ground. The wire AC is 24 m long. ...

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