# Practice - buskemath

## Transcription

Practice - buskemath

Name Class 14-3 Date Practice Form G Right Triangles and Trigonometric Ratios Find the values of the six trigonometric functions for the angle in standard position determined by each point. 1. (3, 4) 2. (12, 5) 3. (2, 1) 4. ( 5 , 2) 5. A hiker is standing on one bank of a river. A tree stands on the opposite bank, which is 750 ft away. A line from the top of the tree to the ground at the hiker’s feet makes an angle of 12° with the ground. How tall is the tree? 6. In ΔABC, find each value as a fraction and as a decimal. Round to the nearest hundredth. a. cos A b. csc A c. tan B d. sec B e. cot A f. csc B 2 . Draw a diagram and find 3 each value in fraction form and in decimal form. Round your answer to the nearest tenth, if necessary. 7. In ΔABC, C is a right angle and tan A a. cos A b. tan B c. sin A d. cot B e. sec A f. csc B Find each length x. Round to the nearest tenth. 8. 9. Prentice Hall Gold Algebra 2 • Teaching Resources Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved. 23 Name Class 14-3 Date Practice (continued) Form G Right Triangles and Trigonometric Ratios 10. A kite string makes a 62° angle with the horizontal, and 300 ft of string is let out. The string is held 6 ft of the ground. How high is the kite? In ΔDEF, D is a right angle. Find the remaining sides and angles. Round answers to the nearest tenth. 11. f = 8, e = 15 12. f = 1, e = 2 13. f = 2, e = 1 14. f = 1, d = 500 15. d = 21, e = 8 16. e = 5, f = 1 17. You are designing several access ramps. What angle would each ramp make with the ground, to the nearest 0.1°? a. 20 ft long, rises 16 in. b. 8 ft long, rises 8 in. c. 12 ft long, rises 6 in. d. 30 ft long, rises 32 in. e. 4 ft long, rises 6 in. f. 6 ft long, rises 14 in. Sketch a right triangle with as the measure of one acute angle. Find the other five trigonometric ratios of . 18. cos 4 11 19. cos 7 12 20. cos 14 6 21. cos 9 16 22. sin = 0.45 23. sec = 7.6 1 , describe a method you could use to find all the 2 angles between 0° and 360° that satisfy this equation. 24. Open-Ended If cos 25. Reasoning Show that if C is a right angle in ΔABC, then the area of ΔABC is bc sin A. 2 Prentice Hall Gold Algebra 2 • Teaching Resources Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved. 24