This final example shows an Exterior Angle question that requires the setting up and solving of Algebra Equations. In this next example we find the missing Interior Angle by using the Exterior Angle Theorem. This is the simplest type of Exterior Angles maths question. In this first example, we use the Exterior Angle Theorem to add together two remote interior angles and thereby find the unknown Exterior Angle. They call this rule a “Theorem”, which is just a fancy name for any shortcut rule we can use in Maths. The following example shows how we extend a typical triangle’s sides to create its three Exterior Angles.īased on the fact that the Interior Angles of all triangles add up to 180 degrees, and that the Exterior Angle and its partner angle also always add to 180 degrees, Mathematicians have been able to develop the rule shown in the diagram below. The Exterior Angles of a Triangle are formed by extending the sides of the Triangle, so that a 180 degree Supplementary Angle straight line is formed.Įvery Triangle has three Exterior Angles that match up with each of the three Interior Angles.Įach Exterior Angle sums with its adjacent Interior Angle to form a 180 degree straight line. In this lesson, we are not looking at the details of GPS Triangles, but rather the Exterior Angles which are formed when we extend the sides of any Triangle.Įxterior Angles can be used as part of GPS Calculations, but this mathematics is quite a bit more advanced than the basics we need to cover here. The actual mathematics is quite complicated, and uses 3D triangles, which form cone like Pyramids, and this is called “Trilateration”.įor an excellent overview of exactly how GPS works, check out the following web page: The mathematical process to work out the actual GPS location on earth uses “Triangulation” or “Trilateration”.īasically there are 24 GPS satellites orbiting the earth in fixed positions, so that any GPS unit will always be able to connect to at least three of the satellites at any time of the day or night.įrom these radio frequency connections, many triangles are formed, calculations performed, and the latitude, longtitude, and elevation, of the position on earth is determined. Triangles are also used in GPS Location and Navigation.Īny position on Earth that is beamed to three or more GPS Satellites creates unique distances which form triangles of known sizes. What we really like about this picture is the clever shading of the triangles to create various 3D effects throughout the drawing. How has inflation over the last five years affected you and/or your family?Discuss how a business manager, such as a human resources manager, might use CPI statistics.Cite a minimum of three scholarly, peer-reviewed references.Format your paper consistent with APA guidelines.Triangles can even be used in Art, as shown above in the great piece of artwork by Justin Windle from Soulwire. Enter those index numbers in an Excel® file and calculate the percent change (inflation rates) in those index numbers from 1995 to 2005, from 1995 to 2010, and from 1995 to 2015.Analyze the trends in overall inflation over the last five years and whether your income has kept pace with inflation. Louis FRED web site although you are allowed to use other sources.Develop a minimum 700-word analysis of inflation by including the following:Choose a product or service you currently consume/use, such as apparel or educational services, that is included in the CPI’s “market basket.” Find the annual CPI index numbers for your chosen good or service for the years 1995, 2005, 2010, and 2015. Internet sites you might find useful include the Bureau of Labor Statistics (BLS) and the Federal Reserve of St. There are also additional tutorials via the web offering support for Office products.Use an internet search or the University Library to locate information on the Consumer Price Index (CPI). Louis Federal Reserve FRED site, among others.Assignment StepsResources: Tutorial help on Excel® and Word functions can be found on the Microsoft®Office website. Department of Labor’s Bureau of Labor Statistics (BLS) data and provide students with the skills to calculate inflation and interpret the Consumer Price Index (CPI). Note: The BLS is the primary source of information on inflation, but their data is re-posted in other sources, such as the St.
Louis FREDpurpose of AssignmentThis assignment will introduce students to the U.S. (WINE) is the product chosen, please refer to BLS for charts and data that can be added to the assignment with three scholarly, peer-reviewed references from Bureau of Labor Statistics (BLS) and the Federal Reserve of St.