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Ex 6.5, 10 - A guy wire attached to a vertical pole of - Pythagoras Theoram - Finding value

  1. Chapter 6 Class 10 Triangles
  2. Serial order wise
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Ex 6.5, 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? Given: Let Height of vertical pole = AB = 18 m Let length of wire = AC = 24 m To Find : Distance from the base of the pole to the another end of the wire i.e. (BC) Solution Since the pole will be perpendicular (vertical) to ground ∠ ABC = 90° ⇒ Δ ABC is a right angle triangle So, in right angle triangle ABC Using Pythagoras theorem (Hypotenuse)2 = (Height)2 + (Base)2 (AC)2 = (AB)2 + (BC)2 (24)2 = (18)2 + (BC)2 576 = 324 + BC2 576 – 324 = BC2 252 = BC2 BC2 = 252 BC = √252 BC = √(36 ×7) BC = √(6 ×6×7) BC = √(6 ×6)×√7 BC = √(62 )×√7 BC = 6√7 Hence , the stake may be placed at distance (BC) = 6√7 m, from the base of the pole .

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