Question

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 wire will be taut?


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Answer 1

Answer:

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

AC=6√7m

therefore the stake may be placed at a distance of 6√7 m from the base of pole

Answer 2

Answer:

A lemma is a proven statement used for proving another statement. Theorem 1: “Given positive integers a & b, there exist unique integers q & r satisfying a = b*q + r, 0 ≤ r < b”.

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