# A wire attached to vertically pole of height 18m is24m long and has a stake attached to other end. How far from the base of the pole should the stake be driven so that the wire will be taut?

Given, height of a pole is 18 and wire attached is 24m

Need to find the distance from the base to keep wire taut

Let AB be a wire and pole be BC

to keep the wire taut let it be fixed at A

AB2 = AC2 + BC2

242 = AC2 + 182

AC2 = 242 + 182

AC2 = 576-324

= 252

AC = √ 252

= √(36 × 7)

= 6√ 7

Hence, the stake may be placed at a distance of 6√ 7m the base of pole

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