1. Trigonometric Ratios Day 12

2. Day 12 Math Review

3. Objectives Find the sine, cosine, and tangent of an acute angle. Use trigonometric ratios to find side lengths in right triangles and to solve real-world problems. Use trigonometric ratios to find angle measures in right triangles and to solve real-world problems. Solve problems involving angles of elevation and angles of depression. Find the sine, cosine, and tangent of an acute angle. Use trigonometric ratios to find side lengths in right triangles and to solve real-world problems. Use trigonometric ratios to find angle measures in right triangles and to solve real-world problems. Solve problems involving angles of elevation and angles of depression.

4. Vocabulary trigonometric ratio sine cosine tangent angle of elevation angle of depression trigonometric ratio sine cosine tangent angle of elevation angle of depression

5. Activity Pick one Exploration 8-2 or 8-3 (p. 39-40) Find a partner. You have 20 minutes. Be prepared to discuss your results.

6. By the AA Similarity Postulate, a right triangle with a given acute angle is similar to every other right triangle with that same acute angle measure. So ∆ABC ~ ∆DEF ~ ∆XYZ, and. These are trigonometric ratios. A trigonometric ratio is a ratio of two sides of a right triangle.

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8. If you know the sine, cosine, or tangent of an acute angle measure, you can use the inverse trigonometric functions to find the measure of the angle.

9. An angle of elevation is the angle formed by a horizontal line and a line of sight to a point above the line. In the diagram, 1 is the angle of elevation from the tower T to the plane P. An angle of depression is the angle formed by a horizontal line and a line of sight to a point below the line. 2 is the angle of depression from the plane to the tower.

10. Work Time Complete pages 42--44 in your workbook Complete, Correct pages will be stamped Return to class bin when you are finished Complete pages 42--44 in your workbook Complete, Correct pages will be stamped Return to class bin when you are finished

11. Exit Quiz Complete the quiz Show any and all work that you can Circle your answers Turn it in before you leave Complete the quiz Show any and all work that you can Circle your answers Turn it in before you leave