a tree is broken at a height of 3 m from the ground and its top touches the ground at a distance of 4m from the base of the tree. find the original highest of the tree.
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Answer:
We will solve this by Pythagorean formula
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Step-by-step explanation:
Now let us denote the tree by ∆ABC
such that,
AB = Height from where tree is broken
BC = distance where top touches the ground from base of tree
AC = remaining height of tree
Now this forms a right angle triangle
Therefore,
(AB)²+(BC)²= (AC²)
→ 3²+4²= AC²
9+ 16=AC²
√AC²= √25=5
Therefore,
AC=5m
The original height of tree is AB+AC
= 3+5= 8
Therefore original height of tree is 8cm
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