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Precalculus 2e

Introduction to Further Applications of Trigonometry

Precalculus 2eIntroduction to Further Applications of Trigonometry
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A picture of the bottom of the world's largest living tree.
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

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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