Pre-Calc Exam Notes 49

Pre-Calc Exam Notes 49 - The Law of Cosines Section 2.2 49...

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The Law of Cosines Section 2.2 49 Exercises For Exercises 1-6, solve the triangle ABC . 1. A = 60 , b = 8, c = 12 2. A = 30 , b = 4, c = 6 3. a = 7, B = 60 , c = 9 4. a = 7, b = 3, c = 9 5. a = 6, b = 4, c = 1 6. a = 11, b = 13, c = 16 7. The diagonals of a parallelogram intersect at a 42 angle and have lengths of 12 and 7 cm. Find the lengths of the sides of the parallelogram. ( Hint: The diagonals bisect each other. ) 8. Two trains leave the same train station at the same time, moving along straight tracks that form a 35 angle. If one train travels at an average speed of 100 mi/hr and the other at an average speed of 90 mi/hr, how far apart are the trains after half an hour? 9. Three circles with radii of 4, 5, and 6 cm, respectively, are tangent to each other externally. Find the angles of the triangle whose vertices are the centers of the circles. 10. Find the length x of the diagonal of the quadrilateral in Figure 2.2.3 below. 2 4 3 . 5 x 6 5 . 5 Figure 2.2.3 Exercise 10 5 3 60 Figure 2.2.4 Exercise 11 11. Two circles of radii 5 and 3 cm, respectively, intersect at two points. At either point of intersec-
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