1. Lesson 8-7 Applications of Right Triangle Trigonometry (page 317) How can trigonometry be used to solve real life problems?

3. horizontal 1 2 B A The angles formed between the horizontal and the line of sight are the: ANGLE of DEPRESSION when a point B is viewed from a higher point A, ie. ____. ∠1∠1 l i n e o f s i g h t

4. horizontal 1 2 B A The angles formed between the horizontal and the line of sight are the: ANGLE of ELEVATION when a point A is viewed from a lower point B, ie. ____. ∠2∠2 l i n e o f s i g h t

5. horizontal l i n e o f s i g h t Angle of Elevation l i n e o f s i g h t Angle of Depression

6. 6’6’ 3’3’ Example 1 At a certain time, a post 6 feet tall casts a 3 feet shadow. What is the angle of elevation of the sun? xº

7. 6’6’ 3’3’ See the right triangle. xº ∴ the angle of elevation of the sun is 63º.

8. Example 2 A person in a lighthouse 22 meters above sea level sights a boat in the water. If the angle of depression to the boat is 25º, how far from the base of the lighthouse is the boat? 25º ? m 22m

9. The goal is to get a right triangle! See the right triangle! 25º ? m 22m

10. Now use trigonometry. 25º X m 22m ➤ ➤ 25º or 90º - 25º = 65º

11. Solve either equation, they both give the same solution … ∴ the boat is 47 meters from the base of the lighthouse. or

12. OPTIONAL Assignment Written Exercises on pages 318 to 320 1 to 13 odd numbers Trigonometry Worksheet #2 Lesson 8-7 Applications of Trigonometry How can trigonometry be used to solve real life problems?

13. Prepare for Quiz on Lessons 8-5 to 8-7 Trigonometry Worksheet #3 Review Lessons 8-5 to 8-7 How can trigonometry be used to solve real life problems?

14. Test on Chapter 8: Right Triangles will be a take-home test!!! Time will be given each day to work on the test. How can right triangle facts be used to solve real life problems?