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A tree is broken at a …

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A tree is broken at a height of 5m from the ground.Itstop touches theground art a ddistance of 12m from the base of the tree.Find the origin height of the tree?
  • 1 answers

Samiksha Rana 6 years, 2 months ago

Let AB be the tree. When broken at C, let its top touch the ground at D. Then BC=5m and BD=12m. Note that CD=AC. In ∆BCD, angle B=90°. By Pythagoras property, CD(2)=BD(2 )+ BC(2) CD(2)=12(2) + 5(2) CD(2)= 144 + 25 CD= 13m Original height of tree =AC= BC+CA= BC+CD =5m+13m= 18m
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