Unit 3: Trigonometry


Lesson 3.1 video link here.
Have you ever wondered how engineers or astronomers determine inaccessible distances such as the distance across a gorge or the distance between two stars? One of the most important tools they have is trigonometry. Trigonometry includes the study of the relationships between angles and side lengths in triangles. Trigonometry is invaluable to navigators, scientists, and builders.

Trigonometry
The study of the relationship between side lengths and angles of a triangle

Lesson 3.1: The Tangent Ratio

Suppose you wanted to determine the height of a flag pole. How would you do it? Is it possible to determine its height without actually measuring it?

The tangent ratio is a relationship between an angle and two side lengths in a right triangle. The tangent ratio can be used to determine an unknown side length or an unknown angle measure in a right triangle.


In Lesson 3.1, you will learn how to determine

  • the tangent ratio for right triangles

  • how the tangent ratio can be used to determine unknown side lengths and angles