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
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
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Part D
Photo #1: Question
Photo #2: Answer Key
![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff5dff392-58a7-47ad-b269-2fde052f7018%2F426ebb6b-a3e5-4518-b604-ab0fa9561048%2Fwdw0dbi.png&w=3840&q=75)
Transcribed Image Text: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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff5dff392-58a7-47ad-b269-2fde052f7018%2F426ebb6b-a3e5-4518-b604-ab0fa9561048%2Fndkwovv.png&w=3840&q=75)
Transcribed Image Text: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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