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Precalculus 2e

Introduction to Further Applications of Trigonometry

Precalculus 2eIntroduction to Further Applications of Trigonometry
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General Sherman, the world’s largest living tree. (credit: Mike Baird, Flickr)

Chapter Outline

8.1 Non-right Triangles: Law of Sines
8.2 Non-right Triangles: Law of Cosines
8.3 Polar Coordinates
8.4 Polar Coordinates: Graphs
8.5 Polar Form of Complex Numbers
8.6 Parametric Equations
8.7 Parametric Equations: Graphs
8.8 Vectors

Introduction to Further Applications of Trigonometry

The world’s largest tree by volume, named General Sherman, stands 274.9 feet tall and resides in Northern California.1 Just how do scientists know its true height? A common way to measure the height involves determining the angle of elevation, which is formed by the tree and the ground at a point some distance away from the base of the tree. This method is much more practical than climbing the tree and dropping a very long tape measure.

In this chapter, we will explore applications of trigonometry that will enable us to solve many different kinds of problems, including finding the height of a tree. We extend topics we introduced in Trigonometric Functions and investigate applications more deeply and meaningfully.

Footnotes

  • 1Source: National Park Service. "The General Sherman Tree." http://www.nps.gov/seki/naturescience/sherman.htm. Accessed April 25, 2014.
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