- Trending Categories
- Data Structure
- Networking
- RDBMS
- Operating System
- Java
- iOS
- HTML
- CSS
- Android
- Python
- C Programming
- C++
- C#
- MongoDB
- MySQL
- Javascript
- PHP

- Selected Reading
- UPSC IAS Exams Notes
- Developer's Best Practices
- Questions and Answers
- Effective Resume Writing
- HR Interview Questions
- Computer Glossary
- Who is Who

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

**Given:**A tree is broken at a height of $5\ m$ from the ground and its top touches the ground at a distance of $12\ m$ from the base of the tree.

**To do:**To find the original height of the tree.

**Solution:**

Let $ACB$ represent the tree before it breaks at the point $C$, and let the top $A$ touch and the ground at $A$ after it before.

Then $\Delta ABC$ is a right-angle triangle, right angles at $B$.

$AB=12\ m$

$BC=5\ m$

On using Pythagoras theorem,

$(AC)^2=(AB)^2+(BC)^2$

$\Rightarrow (AC)^2=(12)^2+(15)^2$

$\Rightarrow (AC)^{2\ }=144+25$

$\Rightarrow (AC)^2=169$

$AC=13\ m$

Thus, the total height of the tree

$=AC+CB$

$=13\ m+5\ m=18\ m$

- Related Questions & Answers
- m-ary tree
- Print the nodes at odd levels of a tree in C++ Programming.
- Find the City With the Smallest Number of Neighbors at a Threshold Distance in C++
- Program to print the nodes at odd levels of a tree using C++
- Find the Number of subarrays having sum of the form k^m, m >= 0 using C++
- Write a Program to Find the Maximum Depth or Height of a Tree in C++
- Why so mangrove roots grow above the ground?
- Find the minimum number of steps to reach M from N in C++
- Get object at the top of the Stack in C#
- Count the number of nodes at given level in a tree using BFS in C++
- Find the number of distinct pairs of vertices which have a distance of exactly k in a tree in Python
- N digit numbers divisible by 5 formed from the M digits in C++
- Create a mirror tree from the given binary tree in C++ Program
- Insert an object at the top of the Stack in C#
- Maximize the profit by selling at-most M products in C++
- Place the image at the top inside a Bootstrap 4 card

Advertisements