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Solution for 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? - CBSE Class 10 - Mathematics

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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?

Solution

Let OB be the pole and AB be the wire.

By Pythagoras theorem,

AB2 = OB2 + OA2

(24m)2 = (18m)2 + OA2

OA2 = (576 - 324)m2 = 25 m2

OA2 = `sqrt252 `

 Therefore, the distance from the base is `6sqrt7 m`

  Is there an error in this question or solution?

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Solution for 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? concept: Pythagoras Theorem. For the course CBSE
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