At a secret place in northern California, a tree named Hyperion is measured at a world record height of 379.3 feet (115.61 million)! Believe it or not, the measurement was done with an extra long tape measure, but there are very easy ways that you can try yourself. Although you will not be precise for exact inches or centimeters, these methods will give you a good approximation, and will work on any taller object. Telephone pillars, buildings, or magic beans: By the time you can see the top, you can measure it.
Choose a Method
1.Piece of paper: No math or other tools necessary!
2.Shadows: Requires a tape measure, flat ground, visible shadows, and basic arithmetic.
3.Pencil: A quick but rough estimate using a pencil and a friend.
4.Clinometer or tools: These are the most accurate tools. You can build a clinometer yourself out of basic school supplies.
Using a Piece of Paper
Use this method to find the height of the tree without any math. For this method you only need a paper and a tape measure. No calculation is necessary; However, if you are interested in how this works, you may need to know a few trigonometry.
The way to use the clinometer or transit goes in full calculation and reasons why it works, but you do not need to go in to find the height using this method.
Fold a piece of paper in half so that it can make a triangle. If the paper is rectangular (not square), then you have to make a rectangular letter in a square. Fold one corner so that it creates a triangle with the opposite side, then cut extra paper over the triangle. You should be left with a triangle that you need.
In the triangle there is a right (90 degree) angle and two 45 degree angles.
Hold the triangle in front of an eye by holding the 90 angle right angles (see the picture above) in the opposite corner, and point the remaining triangle to yourself. One of the smaller sides should be horizontal (flat), and the other should be vertical (pointing straight up). You should be able to look up your eyes for the longest time.
The longest side, which you are looking at, is called the halo of the triangle.
Fall back from the tree until you can see the top of the tree at the top end of the triangle. Close one eye and use another to look straight at the longest edge of the triangle, as long as you do not see just above the tree. You want to find the point where your vision line moves up to the very top of the tree on the longest edge of the triangle.
Mark this place and measure the distance from it on the tree. This distance is almost the entire height of the tree. Add your own height to it, because you were watching the tree from the ground with the height of your eyes. Now you have the full answer!
To find out how it works, see the section “Using the Clinical or Transit” section. You do not need to make any calculations in this method, because there is a small move: the tangent of 45º angle (which you use) is equal. 1. The equation can be made simple: (tree height) / (distance) tree = 1. Each side (distance from the tree) and you receive: height of the tree = distance from the tree.
By Comparing Shadows
Use this method if you have only one tape measure or ruler. You do not need any other equipment to use this method, and you should make an accurate estimate how long the tree is. You will need to do multiplication and division problems, but no other math.
If you want to avoid doing any math, then you can use the height calculator of a tree online such as this, and enter the measurements you searched using this method.
Measure your height. Use the tape measurement or yardstick (meter ruler) to measure your height while standing upright. Do this while wearing shoes that you wear to wear this method. Since you will need a piece of paper anyway, so write down your height so that you do not forget the exact number.
You will need a single number, such as not the height of your height, feet and inches inches. If you are not sure how to change in a number, then you can use the height of a vertical or meter ruler, instead of vertical (3 feet or 1 meter). Use the length of the ruler’s height and the shadow of the ruler, you are sometimes asked to use
If you are in a wheelchair or can not stand directly for any other reason, then whenever you go out to measure the tree, then measure your height.
Stand on the sunny, flat ground near the tree. Try to find a place where your shadow falls to the flat ground so you can get an accurate measurement. For best results, do this method on a bright, sunny day. If the sky is cloudy, it can be difficult to accurately measure the shadow.
Measure the length of your shadow. Use a tape measurement or yardstick (meter ruler) to measure the distance from the tip of your shadow to the tip of your shadow. If you have no one to help you, you can mark the end of the shadow by standing a rock on it while standing. Or better yet, place the rock somewhere on the ground, and then position yourself so that the tip of your shadow is on the rock; Then measure from the rock where you stand.
To avoid confusing with each other, write and label each measure you make after you have done it.
Measure the length of the shade of the tree. Use your measuring tape to determine the length of the tree shade from the shade of the tree. This works best if the ground is leveled along with the shade; For example, if the tree is on the slopes, then your measurement will not be correct. Do this immediately after measuring your shadow, because the speed of the sun will change the length of the shadow.
If the shade of the tree is on the slope, then there may be a different time of day when the shadow shields the slope, either by pointing in the lower or the other direction.
Add tree width 1/2 to the length of the shade of the tree. Most of the trees go straight upwards, so the top of the tree should be above the right middle of the tree. To get the total length of its shade, you should add 1/2 the diameter of the tree stem to your shadow measurement. This is because the highest tip is actually creating a longer shadow than you have measured; Some of it is falling on top of the tree stem where you can not see it.
Measure the width of the trunk with a long ruler or straight tape measure, then divide by 2 to get the tree width 1/2. If you are having trouble seeing how wide the trunk is, pull a tight square around the base of the trunk and measure one side of that square.
Calculate the height of the tree using numbers you have written. Now you have three numbers to be written: your height, the length of your shadow and the length of the shade of the tree (including its width width of 1/2). The length of the shadow is in proportion to the height of the object. In other words, (the height of your height) your (tree shadow length) will always be divided (equal to the height of the tree). To find the height of the tree, we can use this equation:
Multiply the length of the tree shade from its height. If you are 5 feet (1.5 meters) long, and the tree shade is 100 feet (30.48 meters) long, then put them together: 5 x 100 = 500 (or for measurement measurement, 1.5 x 30.48 = 45.72).
Divide the answer by the length of your shadow. Using the example given above, if your shadow is 8 feet (2.4 meters) long, divide your answer by that number. 500/8 = 62.5 feet (or in metric, 45.72 / 2.4 = 19.05 meters).
If you are troubled by math, then find a tree height calculator online like this.
Using a Pencil and an Assistant
Use this method as the option of shadow method. While this method is less accurate, you can use it when the shadow method will not work, such as on a frost day. In addition, if you have a tape measure, you can avoid doing math. Otherwise, you will need to find a tape measure later and do some simple multiplication problems.
Stand far away from the tree so that you can see the entire tree from top to bottom without moving your head. For the most accurate measurement, you must be standing so that you are on a piece of land that is about level with the ground on the tree, not high or low. Your view of the tree should be as obstacle as possible as possible.
Hold a pencil on the length of the hand. You can use any small, straightforward object, such as a paint stick or ruler. Hold it in one hand and spread your arm so that the pencil is in front of you (between you and the tree) on the arm’s length.
Close one eye and adjust the pencil up or down so that you can see the top of the tree at the top of the pencil. If you fold the pencil then it is the easiest, so that the pointed point is pointed straight upwards. Thus, the tip of the pencil should cover the top of the tree in your sight as you see the “tree” through the pencil.
Move your thumb up or down from the pencil so that the tip of your thumbnail is added to the base of the tree. Keep the pencil in the position that the tip is aligned with the top of the tree (as it is in step 3), take your thumb on the pencil located at that point, which covers the point (again, as you say “one Eye-pencil “)) where the tree meets the ground. Now the pencil is “covering” the entire height of the tree from the base to the tip.
Rotate your arm so that the pencil is horizontal (parallel to the ground). Keep your arm straight at equal distances, and make sure your thumbnail is still aligned with the tree base. The thumb should also be with the center of the tree below.
Move your friend so that you can see him or her through the “point of your pencil”. That is, the feet of your friend should be combined with the tip of the pencil. He or she should be away from you as much as the tree, not far away or closer to you. Since, depending on the height of the tree, you may need to stay away from your friend, consider using hand signals (to which the pencil is not catching with hands) to go away from it or to Move around, or to the left or to the right.
If you have a tape measure, then measure the distance between your friend and the tree. Does your friend stay in place or mark the place with a stick or rock. Then use a measuring tape to measure the distance between the place and the base of the tree. The distance between your friend and the tree is the height of the tree.
If you do not have any tape remedies, mark the height of the tree on your friend’s height and pencil. Mark your pencil on where your thumbnail is; This is how long the tree looks from your perspective. Use the same method to organize the pencil so that it covers your friend, with a tip on your friend’s head and your thumb in the foot. Make a second mark on this situation of your thumbnail.
Once you have access to a tape measure, find the answer. You will need to measure the length of each mark and the height of your friend, but you can do this after going home, without returning to the tree. Increase the length difference on the pencil to the height of your friend. For example, if your friend’s height is visible 2 inches (5 cm) and the tree’s height is 7 inches (17.5 cm), then the tree is 3.5 times taller than your friend because 7 inches / 2 inches = 3.5 (17.5 cm / 5 cm = 3.5). If your friend is 6 feet (180 cm) long, the tree is 6 x 3.5 = 21 feet long (180 cm x 3.5 = 630 cm) long.
Note: If you have a tape measure with you near the tree, then you do not need to make any calculations. “If you have a tape measure then read” carefully.
Using a Clinometer or Transit
Use this method to get a more accurate measurement. Other methods are surprisingly accurate, but with a little more math and special tools you can get a more accurate reading. It’s not as hard as it seems: all you need is a calculator that can calculate tangents, and a cheap plastic protractor, straw, and piece of string so that you can make yourself a clinometer. A clinic measures the slope of objects, or in this case the angle between you and the top of the tree. A transit is a more complex tool used for the same purpose, but uses a telescope or laser to achieve greater accuracy.
The piece of paper actually uses a piece of paper as a clonometer. In addition to being more precise, this method allows you to measure the height from any distance, rather than going back and forth to apply the tree line.
Measure the distance in a viewing position. Stand with your back on the tree and walk at a point which is almost at par with the ground on the basis of the tree and from where you can clearly see the top of the tree. Walk in a straight line, and use a measuring tape to measure your distance from the tree. You do not need to stand at any fixed distance from the tree, but this method generally works best if your distance from the tree is about 1-1.5 times the height of the tree.
Measure the height angle at the top of the tree. Look at the top of the tree and use a clinic or transit to measure the “angle of height” between the tree and the ground. The angle of height is the angle between the two angles – the level plane of the ground and your vision line, some high points (in this case, the top of the tree) – in the form of the top of the angle with you.
Find the tangent of the height angle. You can find the tangent of an angle using a calculator or a table of trigonometric functions. The method of finding tangents can vary depending on your calculator, but usually you push only the “tan” button, enter the angle, and then press the “equal” button (=). Thus if the angle of height is 60 degrees, then just push “Tan” and then enter “60” and then press the same mark.
Click this link to go to an online tangent calculator.
In a right triangle, the tangent of an angle is defined by the opposite side of the angle, divided by the side adjacent to the angle. In this case, the opposite side is the height of the tree, and the adjacent side is your distance from the tree.
Multiply your distance from the tree by the tangent of the height angle. Remember, you measured from your distance tree at the beginning of this method. Multiply it by the tangent you’ve calculated. The resulting number tells you how much the tree is above your eye level, because it is the level you calculated with tangents.
If you already read about the definition of Tangent, you can see why this method works. As previously mentioned, tangent = (height of the tree) / (the distance of the tree). Multiply each side of the equation (distance from tree) and you (tangent) x (distance from tree) = (height of the tree).
In the previous step, add the height you calculated to your height. Now you have the height of the tree. Since you used clematometer or transit at the eye level, not on the ground level, add your height in the measurement to get the total height of the tree. You can measure your height at the eye level and get more accurate results, not over your head.
If you are using a steady transit, then add height to the transit eyepiece, not your own height.
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