Lesson 7.7, For use with pages

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Presentation transcript:

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

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

7.7 Solve Right Triangles

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

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

Inverse Trig Ratios – when you 2 side lengths

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

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

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

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

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

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