MA1310: Module 4 Applications of Trigonometry Exercise 4.1 Laws of Sines and Cosines

MA1310: Module 4 Applications of Trigonometry Exercise 4.1 Laws of Sines and Cosines 1 A C a    48 97 12 1. Use the values given in the above triangle and find the value of B, b, and c. 2. Two sides and an angle (SSA) of a triangle are given. Determine if the given measurements produce one triangle, two triangles, or no triangle at all. a = 7, b = 5, A = 70° MA1310: Module 4 Applications of Trigonometry Exercise 4.1 Laws of Sines and Cosines 2 3. You need to determine the distance between two points that lie on opposite banks of a river. The figure shows that 300 yards are measured along one bank. The angles from each end of this line segment to a point on the opposite bank are 620 and 530. Find the distance between A and B to the nearest tenth of a yard. 4. The diagram below shows three islands in Florida Bay. You rent a boat and plan to visit each of these remote islands. If you are on island B, on what bearing should you navigate to go to island C? 5. Use Heron’s formula to find the area of the triangle. Round off to the nearest square feet. a = 5 feet, b = 5 feet, c = 4 feet. Submission Requirements: Submit your response in a Microsoft Word document of the following specifications:  Font: Arial; Point 12  Spacing: Double Evaluation Criteria:  Did you show the steps to solve each problem?  Did you write thorough explanations for the short-answer questions?  Did you accurately choose a problem that fits the criteria for each rule? Island A Island C Island B 6 miles 5 miles 7 miles NW N MA1310: Module 4 Applications of Trigonometry Exercise 4.1 Laws of Sines and Cosines 3  Were the answers submitted in an organized fashion that was legible and easy to follow?  Were the answers correct?

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