THE LAW OF SINES AND COSINES JEOPARDY Mrs. BELCHER Math 4 Directions • • • • • Each person should work out every problem on their paper Rotate through your group who works the problem on the white board and displays the answer to earn points Don’t hold up your white board until I ask for them Every team that gets the correct answer earns points Each team needs to keep their own score JEOPARDY SINE OF THE TIMES IT’S OK… THEY’RE COSINES HOW MANY SOLUTIONS? KEEP ON A SOLVIN 100 100 100 100 200 200 200 200 300 300 300 300 400 400 400 400 SINE OF THE TIMES 100 • If A = 63°, B = 19°, and a = 2.4, find b to the nearest tenth using the Law of Sines. A. 0.9 B. 0.7 C. 6.6 D. 3.6 SINE OF THE TIMES 200 • If B = 14°, C = 45°, and b = 5.2, find c to the nearest tenth using the Law of Sines. A. 1.8 B. 6.1 C. 15.2 D. 0.9 SINE OF THE TIMES 300 • If a = 12, B = 27°, and b = 15, find A to the nearest degree using the Law of Sines. A. 132° B. 21° C. 35° D. 118° SINE OF THE TIMES 400 • If A = 50°, b = 10, and a = 14, find C to the nearest degree using the Law of Sines. A. 57° B. 73° C. 33° D. 97° IT’S OK… THEY’RE COSINES 100 • If a = 21.5, b = 13, and C = 39°, find c to the nearest tenth using the Law of Cosines. A. 7.5 B. 14.1 C. 21.9 D. 4.4 IT’S OK… THEY’RE COSINES 200 • If A = 52°, b = 54 and c = 49, find a to the nearest tenth using the Law of Cosines. A. 3.9 B. 56.2 C. 45.3 D. 78.6 IT’S OK… THEY’RE COSINES 300 • If a = 3, b = 7 and c = 5, find B to the nearest degree using the Law of Cosines. A. 120° B. 38° C. 22° D. 90° IT’S OK… THEY’RE COSINES 400 • If a = 5, b = 6, and c = 8, find A to the nearest degree using the Law of Cosines. A. 141° B. 124° C. D. 39° 20° HOW MANY SOLUTIONS 100 • Determine the number of possible solutions, given a = 33, b = 50 and A = 132° A. None B. One C. Two HOW MANY SOLUTIONS 200 • Determine the number of possible solutions, given b = 150, a = 125 and A = 25° A. None B. One C. Two HOW MANY SOLUTIONS 300 • Determine the number of possible solutions, given A = 38°, B = 63°, and c = 15 A. None B. One C. Two HOW MANY SOLUTIONS 400 • Determine the number of possible solutions, given b = 15, c = 13, and C = 50° A. None B. One C. Two KEEP ON A SOLVIN’ 100 • In order to solve the triangle given b = 40, c = 45, and A = 51°, which equation should you use first to solve. A. B. C. D. a² = b² + c² - 2bc·cos A b² = a² + c² - 2ac·cos B c² = a² + b² - 2ab·cos C Law of Sines KEEP ON A SOLVIN’ 200 • If B = 41°, C = 52°, and c = 27, find a to the nearest tenth. A. 22.5 B. 34.2 C. 37.6 D. 23.9 KEEP ON A SOLVIN’ 300 • If A = 52°, b = 12, and c = 16, find B to the nearest degree. A. 80° B. 43° C. 85° D. 48° KEEP ON A SOLVIN’ 400 • If A = 53°, b = 40, and c = 49, find C to the nearest degree. A. 15° B. 52° C. 75° D. 83° CORRECT!!!! GOOD JOB!!! GO BACK TO THE BOARD AND CHOOSE ANOTHER QUESTION!!! INCORRECT!!!! SORRY! GO BACK TO THE QUESTION AND TRY AGAIN! CORRECT!!!! GOOD JOB!!! GO BACK TO THE BOARD AND CHOOSE ANOTHER QUESTION!!! INCORRECT!!!! SORRY! GO BACK TO THE QUESTION AND TRY AGAIN!