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

Ex 6.5, 10 - Chapter 6 Class 10 Triangles - Part 2
Ex 6.5, 10 - Chapter 6 Class 10 Triangles - Part 3

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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 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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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.