Skip to content

HaryaNtoBlog

Interesting lifehacks and more

  • Home
  • Blog
    • Interesting
    • Lifehacks
    • Popular
  • Contact us
  • Terms & Conditions
  • Privacy Policy
  • Sitemap
  • Toggle search form

How to Measure the Diameter, Height and Volume of a Tree ?

Posted on April 4, 2022April 4, 2022 By admin No Comments on How to Measure the Diameter, Height and Volume of a Tree ?

Content of the material

  1. Abney Level:
  2. Video
  3. Things You’ll Need
  4. How to calculate the height of a tree using the shadow measurement?
  5. Java
  6. Geometric principle
  7. Christen altimeter
  8. C#
  9. Applications of Binary Tree:
  10. Algorithm for Calculating Height of a Binary Tree
  11. Recent Posts

Abney Level:


The Abney Level is an engineering instrument which can be used to determine height. It is moderately expensive and of medium size and weight. Although the Abney Level is relatively robust, the bubble tube can be knocked out of alignment during rough treatment. When used correctly, the Abney Level has an accuracy of about +/- 0.5 m for a 20 m tall tree (ie about 2.5%).

  1. Measure the horizontal distance from the base of a vertical tree (or the position directly beneath the tree tip of a leaning tree) to a location where the required point on the tree (e.g. tree tip) can be seen.
  2. Sight at the required point and move the index arm over the scale until the bubble tube is level.
  3. Read the percentage scale (or the degrees and minutes of the angle).
  4. Calculate the height by multiplying the percentage read by the horizontal distance (or by multiplying the horizontal distance by Tan of the angle).
  5. Site to the base of the tree and repeat steps 2 – 4.
  6. Combine the heights from steps 4 and 5 to determine total tree height:
    • Add the 2 heights together if you looked up to the required point in step 2 and down to the base of the tree in step 5.
    • Subtract the height to the base of the tree from the height to the required point if you are on the sloping ground and had to look up to both the required point and the base of the tree.
  7. Check all readings and calculations.

Video

Things You’ll Need

  • A friend (optional for most methods, but a little help makes the process easier and more fun)
  • either a tape measure or yardstick (meter ruler)
  • or a clinometer or transit
  • or a piece of paper
  • plus a pencil (for one method)

How to calculate the height of a tree using the shadow measurement?

In case you can’t or simply don’t want to trouble yourself with the angle measurement, there is a simpler way – one based on Thales’s method of estimating pyramid height. However, it is more universal because you do not have to wait for the proper time of day. In fact, all you need to do is measure the length of your shadow, the tree’s shadow, and know how tall you are. Then you can use the following formula:

tree height = (your height * tree's shadow length) / your shadow length.

Bear in mind that this equation tells you only how to calculate the height of a tree if it is on a level ground. If the tall object is elevated or located below you, you should opt for the trigonometrical method.

Java

// An iterative java program to find height of binary tree import java.util.LinkedList;import java.util.Queue; // A binary tree nodeclass Node{int data;Node left, right; Node(int item){data = item;left = right;}} class BinaryTree{Node root; // Iterative method to find height of Binary Treeint treeHeight(Node node){// Base Caseif (node == null)return ; // Create an empty queue for level order traversalQueue<Node> q = new LinkedList(); // Enqueue Root and initialize heightq.add(node);int height = ; while (1 == 1){// nodeCount (queue size) indicates number of nodes// at current level.int nodeCount = q.size();if (nodeCount == )return height;height++; // Dequeue all nodes of current level and Enqueue all// nodes of next levelwhile (nodeCount > ){Node newnode = q.peek();q.remove();if (newnode.left != null)q.add(newnode.left);if (newnode.right != null)q.add(newnode.right);nodeCount–;}}} // Driver program to test above functionspublic static void main(String args[]){BinaryTree tree = new BinaryTree(); // Let us create a binary tree shown in above diagramtree.root = new Node(1);tree.root.left = new Node(2);tree.root.right = new Node(3);tree.root.left.left = new Node(4);tree.root.left.right = new Node(5);System.out.println(“Height of tree is ” + tree.treeHeight(tree.root));}} // This code has been contributed by Mayank Jaiswal

Geometric principle

Christen, Merritt or JAL altimeter use geometric principle, which is based on the equation: A’C’/AC = A’B’/AB, where AB corresponds to the tree height. Before mentioned instruments that apply this principle use fixed distances of A’B’, A’C’ and AC, where A’B’ and A’C’ are given on the instrument and AC is set by some reference fixed at the tree (see the formula on the main photo).

Christen altimeter

With the Christen altimeter, the visual image of the tree or part of the tree to be measured must be fit exactly between the upper and lower ends of the scale. The height or length of a tree, a stem, or a stem section is then determined on the basis of a fixed reference length on the stem. Instruments such as Christen altimeter are relatively simple in construction, only one reading is necessary, and the measurement is not affected by the inclination of the terrain.

Christen altimeter. Photo credit: Rafal Chudy
Christen altimeter. Photo credit: Rafal Chudy

C#

// An iterative C# program to// find height of binary treeusing System;using System.Collections.Generic;// A binary tree nodeclass Node{public int data;public Node left, right;public Node(int item){data = item;left = right;}}public class BinaryTree{Node root;// Iterative method to find// height of Binary Treeint treeHeight(Node node){// Base Caseif (node == null)return 0;// Create an empty queue// for level order traversalQueue<Node> q = new Queue<Node>();// Enqueue Root and initialize heightq.Enqueue(node);int height = 0;while (1 == 1){// nodeCount (queue size) indicates// number of nodes at current level.int nodeCount = q.Count;if (nodeCount == 0)return height;height++;// Dequeue all nodes of current// level and Enqueue all// nodes of next levelwhile (nodeCount > 0){Node newnode = q.Peek();queue();if (newnode.left != null)q.Enqueue(newnode.left);if (newnode.right != null)q.Enqueue(newnode.right);nodeCount–;}}}// Driver codepublic static void Main(String []args){BinaryTree tree = new BinaryTree(); // Let us create a binary// tree shown in above diagramtree.root = new Node(1);tree.root.left = new Node(2);tree.root.right = new Node(3);tree.root.left.left = new Node(4);tree.root.left.right = new Node(5);Console.WriteLine(“Height of tree is ” +tree.treeHeight(tree.root));}}// This code has been contributed by 29AjayKumar

Applications of Binary Tree:

  1. Its used in many search applications and algorithms which constantly display and store data. For instance, map including set objects in many libraries.
  2. Its utilized in 3D video game to conclude which objects need to be executed.
  3. Its used in nearly every high-bandwidth router to store router tables.
  4. Its used in construction of compilers and (implicit) calculators to parse declarations.

Algorithm for Calculating Height of a Binary Tree

There are two methods to approach this problem statement. First Approach is based on Depth first seach using recursion, and the other method is based on Breadth first search using Level order traversal without using recursion. 

Recent Posts

  • The IUCN Green List of Protected and Conserved Areas: An Overview
  • Development of National Parks, Wetlands, Eco-tourism Sites & Safari Parks
  • Does Ginger Boost the Immune System and Effective Against Novel COVID-19?
  • REDD+ and Status of Pakistan
  • Dish Solar Cooker – Innovative Cooking Device Powered by Solar Energy

Tags

Terms of UseHeight of aPiece of Papermany of ourbottom of theheight of 379.3a Tree a tree nameda tree withoutthe tree untilthe tree atthe tree.the tree.email to continue.Ways to HelpThings to Try…cookies to makeLOG IN Log in work in incognitolog in withSign In Author Info cited in thissomewhere in northernexact inch or
getwewillwhattopoursoanysameversionalsosidearraytextrecursivepythonfunctioneyemeasuringsortstringcallinstallfile
Interesting

Post navigation

Previous Post: Is It Hard To Become An Anesthesiologist​
Next Post: The Best Natural Antihistamines to Fight Allergic Reactions

Related Posts

What can be used to neutralize pepper spray? Interesting
How to Find Your Pending Friend Requests (and Sent Requests) on Facebook Interesting
What is the best way to cook Alton Brown’s brined turkey recipe? Interesting
The History of Drive-In Movie Theaters (and Where They Are Now) Interesting
How to Find & Kill a Mosquito in Your Room (Simple Methods) Interesting
Fix Resolution When Using Your HDTV as a Monitor Interesting

Leave a Reply Cancel reply

Your email address will not be published. Required fields are marked *

Categories

  • Interesting
  • Lifehacks
  • Popular

Recent Posts

  • Best Teas for Sunburn
  • Bacon sandwich really does cure a hangover — Health & Wellness —
  • Fix Loose USB connector
  • 13 Software Similar to Slingbox
  • How to Break Down a Mattress and Box Spring

Recent Comments

No comments to show.

Copyright © 2022 HaryaNtoBlog.