Mathematics
A guy attached a wire 24 m long to a vertical pole of height 18 m 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 taught ?
Pythagoras Theorem
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Answer
Let BC be the pole and AB be the wire and let the distance of stake from base of pole be x.
Since, pole is vertical so △ABC is right triangle.
By pythagoras theorem,
⇒ AB2 = BC2 + AC2
⇒ 242 = 182 + x2
⇒ 576 = x2 + 324
⇒ x2 = 576 - 324 = 252
⇒ x = m.
Hence, the stake should be at a distance of m from the base of the pole.
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