18. A tree is broken at a height of 12 m from the ground and its top touches the
ground at the distance of 16 m from th

18. A tree is broken at a height of 12 m from the ground and its top touches the
ground at the distance of 16 m from the base. Find the original height of the tree.​

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  1. Answer:

    32m

    Step-by-step explanation:

    Let the broken part of the tree, the remaining part and the distance between the broken part and the base of the tree form a right triangle

    By Pythagoras theorem

    the broken part=√(distance between the broken part and the base)^2 + (remaining part)^2

    √(144+256)

    =20m

    the original ht of the tree = Broken part+Remaining part

    =32m

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