Q. 74.1( 15 Votes )

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?

Answer :


Pole AB = 18 m and distance from the window BC.


AC is the length of the wire = 24 m.


From the figure, ΔABC is a right triangle.


In a right angled triangle


(Hypotenuse) 2 = (Base)2 + (Height)2


where hypotenuse is the longest side.


(AC)2 = (AB)2 + (BC)2


242 = (18) 2 + (BC) 2


BC2 = 576 - 324 = 252


BC = 6√7 m


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