Q. 54.4( 138 Votes )

A tree is broken at a height of 5 m from the ground and its tip touches the ground at a distance of 12 m from the base of the tree. Find the original height of the tree.

Answer :

From the figure, we have



BC is the unbroken part of the tree


Point C represents that point where the tree broke


CA represents the broken part of the tree


is right angled at B


By applying pythagoras theorem, we get:


AC2 = BC2 + AB2


AC2 = (5)2 + (12)2


AC2 = 25 + 144


AC2 = 169 m2


AC =


AC = 13 m


Hence,


The original height of the tree = AC + CB


= 13 m + 5 m


= 18 m


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