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AB is a vertical truck of a huge tree with A being the point where the base of the truck touches the ground. Due to a cyclone, the tree has been broken at C which is at a height of 12 meters, broken part is partially attached to the vertical portion of the tree at C. If the end of the broken part B touches the ground at D which is at a distance of 5 metes from A, then the original height of the truck is:

AB is a vertical truck of a huge tree with A being the point where the base of the truck touches the ground. Due to a cyclone, the tree has been broken at C which is at a height of 12 meters, broken part is partially attached to the vertical portion of the tree at C. If the end of the broken part B touches the ground at D which is at a distance of 5 metes from A, then the original height of the truck is: Correct Answer 25 m

Given 

The distance between broken part of tree on surface and trunk of the tree = 5 cm 

Formula Used 

Hypotnuese2 = perpendicular2 + base2

Calculation 

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⇒ In Δ ACD 

⇒Using pythagoras th'm 

⇒ CD2 = AC2 + AD2 

⇒ CD = √(122 + 52) = 13 

⇒ Height of the tree(AB) = AC  + CD = 12 + 13 = 25 m 

∴ the original height of the tree is 25 m 

 

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