3. Section 9.8 Trigonometric Ratios

4. Smaller Triangle: Larger Triangle: Smaller Triangle: Larger Triangle: Smaller Triangle: Larger Triangle:

5. Key Concept: Ratios formed by similar sides of similar triangles are equivalent.

6. Trigonometric Ratio A ratio of the lengths of two sides of a right triangle. AB C

7. How do I remember this? SOHCAHTOA AB C

8. Find sin A Find cos A Find tan A SOHCAHTOA

9. Find sin B Find cos B Find tan B SOHCAHTOA 63 84 105

10. Find the value on a calculator to the nearest ten thousandth.

11. sin 19° cos 51° tan 24° a.sin 63° b.cos 14° c.tan 41° Answer: 0.8910 Answer: 0.9703 Answer: 0.8693

12. Find the missing measure. Round to the nearest tenth. SOHCAHTOA

13. Find the missing measure. Round to the nearest tenth. SOHCAHTOA

14. Architecture A tourist visiting the Petronas Towers in Kuala Lumpur, Malaysia, stands 261 feet away from their base. She looks at the top at an angle of 80° with the ground. How tall are the Towers? SOHCAHTOA

15. Homework Practice 9.8