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MAP4C T3: Formative Trigonometry Name: Date: Instructions: Please use good form and full solutions. Be sure to write your units if they are given in the question. Start with the formula and fill in the numbers. Use a well labeled diagram. 1. 2. 3. 4. 5. Label Choose formula Fill in the formula Solve Statement with units B Soh Cah Toa c2 a2 b2 c A 1. 2. 3. sin A sin B sin C a b c a b a 2 b 2 c 2 2cbCosA C Circle the best answer(s) that represent when we use the Cosine Law. a. AAA b. AAS c. SAS d. SSS e. SSA Which situation cannot be solved using neither the Sine Law nor the Cosine Law? Circle the best answer. a. AAA b. AAS c. SAS d. SSS e. SSA Which trigonometric ratio is best for determining an obtuse angle when we are using a grid? 6 a. b. c. d. Sine Cosine Tan None of the above 4 2 -5 4. 5 Which trigonometric ratio cannot be used to determine if the angle is obtuse or acute when we are using a grid? 6 a. b. c. d. Sine Cosine Tan None of the above 4 2 -5 769827549 5 Page 1 of 4 5. Which of the following properties can be used for any triangle a. We can apply Soh Cah Toa b. We can use Pythagorean theorem c. The sum of the angles is 1800 d. There must be two acute angles in the triangle Part B: Show the complete solutions clearly. a. 1. Solve for the unknown indicated sides given the diagram Solve for a B c A a 550 12 cm C Solve for c B b. 1100 Solve for a a 6 km 250 b A Solve for b c. Solve for b A b 15 cm 1250 C 25 cm B 769827549 Page 2 of 4 2. Solve for the indicated angle a. Solve for angle A B 3 cm 9 cm C 10 cm A Solve for angle B b. Solve for angle F E 480 4.5 km D 7.5 km F Solve for angle D c. S 22 cm Solve for angle S Q 35 cm R 769827549 Solve for angle R Page 3 of 4 3. Given the point P(-4, 6) and the graph do the following: a. Draw the point on the grid. b. Create a right angle triangle with this point on the grid. c. Determine the obtuse angle. 6 4 2 -5 5 Part C: Word Problems from the textbook. p38 to 49 1. Using video technology, a hurdler measured the distances shown. The distance from the takeoff point to the top of the hurdle is 3.5 m. The distance from the top of the hurdle to the landing point is 2.4 m. The distance from the takeoff point to the landing point is 5.5 m. What is the least angle of inclination the hurdler’s trailing leg must make at takeoff? 3.5 m Takeoff 2.4 m 5.5 m Landing 2. Two radar stations that are 120 km apart located an aircraft on their screens. The first station reported the aircraft to the north-east, at an angle of 38.50 with the east-west line formed by the stations. The second station reported a northwestward angle of 56.10 with that same line. How far from each station was the aircraft? Use the top of the page for North and the right of the page for East. Draw a well labeled diagram. 769827549 Page 4 of 4