A guy 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 wife will be taut ?
A
6√7cm
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B
5√7cm
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C
4√7cm
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D
3√7cm
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Solution
The correct option is A6√7cm Let AB (=24m ) be guy wire attached to a vertical pole BC of height 18 m. To keep the wire taut let it fixed to stake at A Then ABC is a right triangle right angled at C ∴AB2=AC2+BC2 so ∴242=AC2+182 or AC2=576−324 or AC2=252 or AC=√252 =6√7cm therefore the stake may be placed at a distance of 6√7m from the base of pole