Question

The top of a broken tree touches the ground at a distance of 12 m from its base. If the tree is broken at a height of 5 m from the ground then the actual height of the tree is ______.

पर्याय

• 25 m

• 13 m

• 18 m

• 17 m

Answer 1

The top of a broken tree touches the ground at a distance of 12 m from its base. If the tree is broken at a height of 5 m from the ground then the actual height of the tree is 18 m.

Explanation:

Let BC is the broken part of tree and AB is the unbroken part of tree.

Here, ΔABC is right angled triangle.

∴ (BC)² = (AB)² + (AC)²

⇒ (BC)² = (5)² + (12)²

⇒ (BC)² = 25 + 144 = 169

⇒ (BC)² = 13²

⇒ BC = 13 m

∴ Actual height of tree is AB + BC = (5 + 13) m = 18 m.