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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?

Q10  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?

Answers (1)
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OB is pole.

In \triangle AOB, by pythagoras theorem

AB^2=AO^2+BO^2

\Rightarrow 24^2=18^2+AO^2

\Rightarrow 576=324+AO^2

\Rightarrow 576-324=AO^2

\Rightarrow 252=AO^2

\Rightarrow AO=6\sqrt{7} m

Hence, the distance of the stack from the base of the pole is 6\sqrt{7} m.

 

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