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Honors Algebra 2 Unit 7 Review Name ______________________ I. Use Law of Sines, Law of Cosines, or SOHCAHTOA to find the missing piece. 1. Find x 2. Find x x 6 5 3 30 x 4 9 4. Find c if C = 60˚, a = 15, b = 12 3. Find x 22 22 x 35 5. Susie was standing at an unknown distance from a very tall building. The angle of elevation from that point is 58º. If she moves 20 feet closer, the angle of elevation becomes 65º. Use that information to find the height of the building. II. Evaluate without using a calculator 6. cos (180˚) 11, sin 7. sec(-30˚) S 8. cot (495˚) 9. sin ( 7 ) 6 58 20 65 10. tan ( 4 2 15 5 cos tan 3 4 3 III. Evaluate without using a calculator. Give your answer in degrees AND radians. 12. sin-1 ( 2 ) 2 13. sin-1 (1) 14. tan-1 ( 3) 17. Find the arc length. given a radius of 4 ft, and a central angle of 240 15. cos-1 ( 3 ) 2 16. tan-1 (0) ) 18. Big Ben is a famous clock in England. The minute hand of Big Ben is 4.2 meters long How far would the tip of the minute hand move from 6 PM to 10 PM? Express your answer in terms of π. 19. Find the area of ABC given a = 17, b = 23, c = 28 20. A boat travels 50 miles due east before adjusting its course 25 north of east and traveling an additional 35 miles. How far is the boat from its point of departure? 21. Given point A(-4, -8) is a point on the terminal side of in standard position. Find the exact value of the 6 trig functions for 𝜃. 22. What are the amplitude and period and midline of the function below. Then write a possible equation for the function. 23. Your lucky number appears at the very bottom of a vertical number wheel with a radius of 2 feet. The wheel is positioned 6 feet above the ground, and is rotation at a rate of 120 revolutions per minute. Write a model of the height h (in feet) of your lucky number as a function of time t (in seconds.) Graph each function. Be sure to label your axes. 24. y 3 sin 2 1 1 4 25. y 2 tan