Math, asked by honeymoon70, 6 hours ago

A tree is broken at a height of 12 m from the ground and its top touches the ground at a distance of 9 m from the base of the tree. Find the original Height of the tree.​

Answers

Answered by sujatasheokand
3

Step-by-step explanation:

it is answer of your questions

Attachments:
Answered by MystícαIStαr
85

Answer:

  • Original height of tree is 18 m

Step-by-step explanation:

Given:

  • A tree is broken at a height of 12 m from the ground
  • Its top touches the ground at a distance of 9 m from the base of the tree.

To Find:

  • Original height of tree

Solution:

Let ∆ABC be the right traingle, right angles at B .

Since tree is vertical

  • ∠B = 90°

AB = 5 m

BC = 12 m

Using, Phytgeores Theorem,

➠ (AC)² = (AB)² + (BC)²

➠ (AC)² = (12)² + (5)²

➠ (AC)² = 144 + 25

➠ (AC)² = 169

➠ AC = 13 m

Original height of tree = AB + AC

Original height of tree = 5 + 13 = 18 m

Hence,

  • Original height of tree is 18 m

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