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CP Algebra II 4/28/16 Law of Sines and Cosines Practice Name: ______________________________ 1. Find the length of side b. 2. Find the measure of angle S. 3. Points A & B are on one side of a river, 100 ft apart, with C on the opposite side. The angles A and B measure 70 and 60, respectively. To the nearest foot, what is the distance from point A to point C? 4. Find all missing sides in the triangle. 5. Find the length of side j. 6. In triangle ABC, angle C = 53˚, angle B = 44˚, and side b = 7. Solve the triangle. 7. In triangle ABC, angle A is 118˚, angle B is 22˚, and side c is 24. Solve the triangle 8. In triangle ABC, a = 8, c = 7, and angle A = 53˚. Solve the triangle 9. In triangle ATM, angle A = 39˚, angle T = 54˚, and m = 27 cm. Solve the triangle 10. Hooray for summer break! You decide to travel 297 miles from St. Louis to Chicago to visit a friend, and then 532 miles from Chicago to Memphis for a country music concert. Finally, you drive 283 miles home from Memphis to St. Louis. Find all angle measures in the resulting triangle. 11. A triangle has sides of length 4, 5 and 8.5. To three decimal places, what is the measure of the largest angle? 12. Two park rangers are in their stations S and T that are 30 miles apart. One particular day, the ranger at station S sees a fire F at an angle of 40 with the line connecting the stations. The ranger at station T sees the fire at an angle of 60 with ST. Who responds the fastest to the fire, Ranger S or T? 13. In triangle ABC, angle C = 33˚, b = 10, and c = 6. Solve the triangle. 14. Find the area of triangle FSM. 16. Solve the triangle. 15. Find the area of triangle MJK.