1. Applications and Models
Objective: To solve a variety of problems using a right triangle.

2. Example 1
Solve the right triangle for
all missing sides and angles.

3. Example 1 Solve the right triangle for all missing sides and angles.
The angles of the triangle
need to add to 1800.
1800 – 900 – = 55.80

4. Example 1
Solve the right triangle for
all missing sides and angles.

5. Example 1
Solve the right triangle for
all missing sides and angles.

6. You Try
Solve the right triangle for
all missing sides and angles.

7. You Try Solve the right triangle for all missing sides and angles.
The missing angle is

8. You Try
Solve the right triangle for
all missing sides and angles.

9. You Try
Solve the right triangle for
all missing sides and angles.

10. Example 2
A safety regulation states that the maximum angle of elevation for a rescue ladder is A fire department’s longest ladder is 110 feet. What is the maximum safe rescue height?

11. Example 2
A safety regulation states that the maximum angle of elevation for a rescue ladder is A fire department’s longest ladder is 110 feet. What is the maximum safe rescue height?
We need to solve for a.

12. Example 3
At a point 200 feet from the base of a building, the angle of elevation to the bottom of a smokestack is 350, whereas the angle of elevation to the top is Find the height s of the smokestack alone.

13. Example 3
At a point 200 feet from the base of a building, the angle of elevation to the bottom of a smokestack is 350, whereas the angle of elevation to the top is Find the height s of the smokestack alone.
First, we find the height to
the top of the smokestack.

14. Example 3
At a point 200 feet from the base of a building, the angle of elevation to the bottom of a smokestack is 350, whereas the angle of elevation to the top is Find the height s of the smokestack alone.
Next, we find the height
of the building.

15. Example 3
At a point 200 feet from the base of a building, the angle of elevation to the bottom of a smokestack is 350, whereas the angle of elevation to the top is Find the height s of the smokestack alone.
We subtract the two
values to find the height
of the smokestack.

16. Example 4
A swimming pool is 20 meters long and 12 meters wide. The bottom of the pool is slanted so that the water depth is 1.3 meters at the shallow end and 4 meters at the deep end, as shown. Find the angle of depression of the bottom of the pool.

17. Example 4
A swimming pool is 20 meters long and 12 meters wide. The bottom of the pool is slanted so that the water depth is 1.3 meters at the shallow end and 4 meters at the deep end, as shown. Find the angle of depression of the bottom of the pool.

18. Trig and Bearings
In surveying and navigation, directions are generally given in terms of bearings. A bearing measures the acute angle that a path or line of sight makes with a fixed north-south line. Look at the following examples.

19. Trig and Bearings
In surveying and navigation, directions are generally given in terms of bearings. A bearing measures the acute angle that a path or line of sight makes with a fixed north-south line. Look at the following examples.

20. Trig and Bearings
You try. Draw a bearing of:
W200N E300S

21. Trig and Bearings
You try. Draw a bearing of:
W200N E300S

22. Class work
Pages
2-8 even

23. Homework
Pages
1-7 odd
15-21 odd
27, 29, 31