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Contents Lesson 7-1Geometric Mean Lesson 7-2The Pythagorean Theorem and Its Converse Lesson 7-3Special Right Triangles Lesson 7-4Trigonometry Lesson 7-5Angles of Elevation and Depression Lesson 7-6The Law of Sines Lesson 7-7The Law of Cosines

Lesson 2 Contents Example 1Find the Length of the Hypotenuse Example 2Find the Length of a Leg Example 3Verify a Triangle is a Right Triangle Example 4Pythagorean Triples

Example 2-1a LONGITUDE AND LATITUDE Carson City, Nevada, is located at about 120 degrees longitude and 39 degrees latitude. NASA Ames is located about 122 degrees longitude and 37 degrees latitude. Use the lines of longitude and latitude to find the degree distance to the nearest tenth degree if you were to travel directly from NASA Ames to Carson City.

Example 2-1b Use the Pythagorean Theorem to find the distance in degrees from NASA Ames to Carson City, represented by c. The change in latitude is or 2 degrees latitude. Let this distance be b. The change in longitude between NASA Ames and Carson City is or 2 degrees. Let this distance be a.

Example 2-1c Pythagorean Theorem Simplify. Add. Take the square root of each side. Use a calculator. Answer: The degree distance between NASA Ames and Carson City is about 2.8 degrees.

Example 2-1d LONGITUDE AND LATITUDE Carson City, Nevada, is located at about 120 degrees longitude and 39 degrees latitude. NASA Dryden is located about 117 degrees longitude and 34 degrees latitude. Use the lines of longitude and latitude to find the degree distance to the nearest tenth degree if you were to travel directly from NASA Dryden to Carson City. Answer: about 5.8 degrees

Example 2-2a Find d.

Example 2-2b Pythagorean Theorem Simplify. Subtract 9 from each side. Take the square root of each side. Use a calculator. Answer:

Example 2-2c Find x. Answer:

End of Lesson 2

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