Question

a tree broken at a height of 5m from the ground.Its top touches the ground at the distance of 12m from the base of the tree find the original height of the tree.​

Answer 1

Answer:

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Answer 2

Given:

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

To Find:

• Find the original height of the tree.

Solution:

Let ∆ABC be the right triangle

The tree is vertical So ∠B = 90°

• AB = 5 cm
• BC = 12 cm

Using Pythagoras theorem,

→ (AC)² = (AB)² + (BC)²

→ (AC) = (5)² + (12)²

→ (AC)² = 25 + 144

→ (AC)² = 169

→ AC = √169

→ AC = 13 cm

Original height = AB + AC

Original height = 5 + 13 = 18 cm

Hence,

• The original height of the tree is 18 cm