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Strike and dip are measured in the field using a compass and with a clinometer. A compass is used to measure the azimuth of the strike, and the clinometer measures inclination of the dip. [2] Dr. E. Clar first described the modern compass-clinometer in 1954, and some continue to be referred to as Clar compasses. [10]
A second method uses a clinometer and a tape and is commonly employed in the forestry industry. [14] This process applies the trigonometric tangent function. In this process the horizontal distance is measured to the trunk of a tree from a sighting position. The angle to the top of the tree is measured with the clinometer.
The clinometer and tape method, or the tangent method, is commonly used in the forestry industry to measure log length. [15] [16] Some clinometers are hand held devices used to measure angles of slopes. The user can sight to the top of a tree using such a clinometer and read the angle to the top using a scale in the instrument.
American Forests, for example, uses a formula to calculate Big Tree Points as part of their Big Tree Program [3] that awards a tree 1 point for each foot of height, 1 point for each inch of girth, and 1 / 4 point for each foot of crown spread. The tree whose point total is the highest for that species is crowned as the champion in their ...
Excel graph of the difference between two evaluations of the smallest root of a quadratic: direct evaluation using the quadratic formula (accurate at smaller b) and an approximation for widely spaced roots (accurate for larger b). The difference reaches a minimum at the large dots, and round-off causes squiggles in the curves beyond this minimum.
Graph made using Microsoft Excel. Many spreadsheet applications permit charts and graphs (e.g., histograms, pie charts) to be generated from specified groups of cells that are dynamically re-built as cell contents change. The generated graphic component can either be embedded within the current sheet or added as a separate object.
It looks much like an everyday yardstick. With practice a Biltmore stick is considered to be exceptionally accurate, often within half an inch on diameters. Some foresters use the tool regularly, however, many prefer to use more accurate tools such as a diameter tape to measure diameter at breast height (DBH) and a clinometer to measure height ...
The slope field can be defined for the following type of differential equations ′ = (,), which can be interpreted geometrically as giving the slope of the tangent to the graph of the differential equation's solution (integral curve) at each point (x, y) as a function of the point coordinates.
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