1. How can you apply right triangle facts to solve real life problems?
Trigonometry
Essential Question
How can you apply right triangle facts to solve real life problems?

2. Lesson 8-7 Applications of Right Triangle Trigonometry (page 317)

3. when a point B is viewed from a higher point A, ie. ____.
horizontal A 1
line of sight 2 B
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

4. when a point A is viewed from a lower point B, ie. ____.1
line of sight 2 B
horizontal
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

5. line of sight
Angle of
Elevation
horizontal
Angle of
Depression
line of sight

6. Example 1 At a certain time, a post 6 feet tall casts a 3 feet shadow
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? 6’ xº 3’

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

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
22m
? m

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

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

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

12. How can you apply right triangle facts to solve real life problems?
Worksheet on Lesson 8-7
Applications of Trigonometry
Assignment
Written Exercises on pages 318 to 320
REQUIRED: 1 to 13 odd numbers
Prepare for Quiz on Lessons 8-5 to 8-7
How can you apply right triangle facts to solve real life problems?

13. How can you apply right triangle facts to solve real life problems?
Worksheet on Lessons 8-5 to 8-7
Prepare for Quiz on Lessons 8-5 to 8-7
Worksheet on Chapter 8: Right Triangles
Prepare for Test on Chapter 8: Right Triangles
How can you apply right triangle facts to solve real life problems?