24. The Law of Cosines (a) Two boats leave the same port at teh same time. One travels at a speed of 40 mi/h in the direction N 48° E and the other travels at a speed of 20 mi/h in the direction S 12°E. How far apart are the boats after 3/2 hours? (b) Two boats leave the same port at the same time. One travels at a speed of 10 mi/h in the direction S 12° W and the other travels at a speed of 20 mi/h in the direction S 72° W. How far apart are the boats after one hour? (c) A pilot flies in a straight path for 2 hours. She then makes a course correction, heading 45° to the right of her original course and flies 1 hour in the new direction. If she maintains a constant speed of 200 miles per hour, how far is she from her starting position? (d) Two straight roadsd diverge at an angle of 45°. Two cars leave the intersection at 4 pm, one traveling at 40 mi/h and the other at 60 mi/h. How far apart are the cars at 4:30pm? (e) Use either Law of Sines or Law of Cosines to determine possibilities for ZA, ZB, and ZC in the triangle AABC if b = (f) Triangle AABC has a = 7, 6 = 8 and c= 10. Solve for cos A. = 10/13, a = 10 and c= 30. 24.(a) 90mi (b) 10/3mi (c) 10/6 – 2/2mi (d) 10/13 – 6v2mi 7/13 (e) cos(A) 26 13 (f) cos(A) 32

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