A guy wire attached to a vertical pole

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Question 10 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?

Class 10 - Math - Triangles Page 151

Answered by admin @


Figure is in the attachment.

Let AB be the pole and AC be the wire.

In ΔABC, using Pythagoras theorem

AC² = AB² + BC²
24² = 182 + BC²
BC² = 576 – 324
BC²= 252

BC²= √36×7

BC = 6√7 m

Hence , the distance of  the stake from the base of pole is 6√7 m.

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