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Question

A guy wire attached to a vertical pole of height 18m is 24m 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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Solution

First, draw the figure,

(AB is a pole=18m , AC is a wire =24m)

As we know that according to Pythagoras' theoremH2=P2+B2

In right-angled triangle ABC, AC2=AB2+BC2

AC2=AB2+BC2242=182+BC2576=324+BC2BC2=576-324BC2=252BC=252BC=67

Therefore, the stake may be placed at a distance of 67 from the base of the pole.


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