Question

A tree is broken at a height of 5 m from the ground and its body touches the ground at a distance of 12 m from the base of the tree. Find the original height of the tree.

Don't give useless answers ​

Answer 1

Answer:

2.4 is height this is correct answer

Answer 2

★Correct Question:-

A tree is broken at a height of 5 m from the ground and its body touches the ground at a distance of 12 m from the base of the tree. Find the original height of the tree.

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★ Given:-

• A tree is broken at a height of 5 m from the ground.
• Its top reaches the ground at a distance of 12 m from the base of the tree.

★ To Find:-

The original height of the tree.

★ Solution:-

Let AB be the tree of height (x + 5) m before it broke at point C.

Let the top A touch the tree after it broke.

Then, ∆DBC is a right angle.

Referring to the figure,

CD² = DB + BC²

⇒ x² = (12² + 5²)

⇒ x = (144 + 25)

⇒ x² = 159

⇒ x² = (13)²

⇒ x = 13

Original height of the tree = (x + 5) m = (13 + 5) m = 18 m

∴ The original height of the tree = 18 m