(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 2C in the triangle AABC if b = 10/13, a = 10 and c = 30. (f) Triangle AABC has a = 7, b = 8 and c= 10. Solve for cos A. ||

Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter7: Triangles
Section7.2: The Law Of Cosines
Problem 37PS: For Problems 37 through 42, use your knowledge of bearing, heading, and true course to sketch a...
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Part D,E,and F

(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 2C in the
triangle AABC if b = 10/13, a = 10 and c = 30.
(f) Triangle AABC has a = 7, b = 8 and c= 10. Solve for cos A.
||
Transcribed Image Text:(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 2C in the triangle AABC if b = 10/13, a = 10 and c = 30. (f) Triangle AABC has a = 7, b = 8 and c= 10. Solve for cos A. ||
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