DeptFinalExamReviewforTrigPart3Fall2008_2__000

DeptFinalExamReviewforTrigPart3Fall2008_2__000 - NWACC Dept...

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NWACC Dept of Mathematics Dept Final Exam Review for Trig - Part 3 Trigonometry, 9th Edition ; Lial, Hornsby, Schneider Fall 2008 1 Departmental Final Exam Review for Trigonometry Part 3: Chapters 7 and 8 Departmental Objectives : 7. Defining, using, and applying the Law of Sines and the Law of Cosines. [Sections: 7.1, 7.2, 7.3] 8. Performing operations with and applying vectors. [Sections: 7.4, 7.5] 9. Converting complex numbers into trigonometric form & vice versa, performing operations with complex numbers, and finding roots and powers of complex numbers. [Sections: 8.1, 8.2, 8.3, 8.4] 10. Converting between rectangular & polar coordinates and graphing polar coordinates and equations. [Section: 8.5] Chapter 7: Applications of Trigonometry and Vectors 1. Determine the remaining sides and angles of the triangle ABC. Show all work and / or support your answer. 2. Determine the remaining sides and angles of the triangle ABC. Show all work and / or support your answer. C = 71.83°, B = 42.57°, a = 2.614 3. A ship is sailing due north. At a certain point the bearing of a lighthouse 12.5 km distant is N 38.8° E. Later on, the captain notices that the bearing of the lighthouse has become S 44.2° E. How far did the ship travel between the two observations of the lighthouse? Show all work and / or support your answer. 4. Mark notices that the bearing of a tree on the opposite bank of a river flowing north is 115.45°. Lisa is on the same bank as Mark, but 428.3 m away. She notices that the bearing of the tree is 45.47°. The two banks are parallel. What is the distance across the river? Show all work and / or support your answer. 5. Find the area of the triangle ABC. Show all work and / or support your answer. A = 30.50°, b = 13.00 cm, C = 112.60° 6. A real estate agent wants to find the area of a triangular lot. A surveyor takes measurements and finds that two sides are 52.1 m and 21.3 m, and the angle between them is 42.2°. What is the area of the triangular lot? Show all work and / or support your answer. 7. Determine the number of triangles ABC possible with the given parts. Show all work and / or support your answer. a) b = 60, a = 82, B = 100° b) a = 35, b = 30, A = 40° c) B = 54°, c = 28, b = 23 8. Find the unknown angles in triangle ABC, if the triangle exists. Show all work and / or support your answer. a) C = 41°20', b = 25.9 m, c = 38.4 m b) B = 48.2°, a = 890 cm, b = 697 cm c) B = 74.3°, a = 859 m, b = 783 m
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NWACC Dept of Mathematics Dept Final Exam Review for Trig - Part 3 Trigonometry, 9th Edition ; Lial, Hornsby, Schneider Fall 2008 2 9. Solve the triangle ABC, if possible. Show all work and / or support your answer. C = 52.3°, a = 32.5 yd, c = 59.8 yd
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DeptFinalExamReviewforTrigPart3Fall2008_2__000 - NWACC Dept...

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