1. Lesson 7.7, For use with pages 483-489
Use this diagram for Exercises 1–4.
1. If PR = 12 and m R = 19°, find p.
ANSWER
11.3
2. If m P = 58° and r = 5, find p.
ANSWER
8.0

2. Lesson 7.7, For use with pages 483-489
Use this diagram for Exercises 1–4.
3. If m P = 60°, and p = 9 , find q.
ANSWER
10.4
4. If r = 8 and p = 12, find q.
ANSWER
14.4

3. 7.7 Solve Right Triangles

4. To solve a right triangle:
Find the measures of all its sides
Find the measures of all its angles.

5. You will need to know one of the following:
Two side lengths
One side length and the measure of one acute angle

6. Inverse Trig Ratios – when you 2 side lengths

7. Example 1:
Use the calculator to approximate the measure of <Q to the nearest tenth of a degree.

8. Example 2:
Let <C be an acute angle in a right triangle. Use the calculator to approximate the measure of <C to the nearest tenth of a degree.
sin C = 0.24
cos C = 0.37
sin C = 0.76
cos C = 0.17

9. Example 3:
Solve the right triangle formed by the water slide shown in the figure. Round decimal answers to the nearest tenth.

10. Example 4:
Solve the right triangle. Round decimal answers to the nearest tenth.

11. Example 5:
A road rises 10 feet in a horizontal distance of 200 feet. What is the angle of inclination?

12.  Homework 
Pgs. 485 – 486 (3, 4, 6 – 8, 10 – 18 evens)