HLRGAATPreISM_35799X_10_ch10

HLRGAATPreISM_35799X - Chapter 10 Applications of Trigonometry Vectors 10.1 The Law of Sines 1 The proportion shown in C is not valid because it

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Chapter 10: Applications of Trigonometry; Vectors 10.1: The La w of Sines 1. The proportion shown in C is not valid because it cannot be written in the form of the Law of Sines. 2. Situation C is SAS and situation D is SSS. Neither of these can be solved using the Law of Sines. 3. The given information is AAS which does not result in the ambiguous case. 4. The given information is AAS which does not result in the ambiguous case. 5. The given information is SSS which does not result in the ambiguous case. 6. The given information is SSA which results in the ambiguous case. 7. The given information is SSA which results in the ambiguous case. 8. The given information is SAS which does not result in the ambiguous case. 9. The given information is SSA which results in the ambiguous case. 10. The given information is AAS which does not result in the ambiguous case. 11. Angle C has measure . Now, using the Law of Sines, . 12. Angle B has measure . Now, using the Law of Sines, . 13. Angle C has measure . Now, using the Law of Sines, ; . The solutions are . 14. Angle A has measure . Now, using the Law of Sines, ; . The solutions are . 15. Angle B has measure . Now, using the Law of Sines, ; . The solutions are . B 5 37.3°, a < 38.5 ft, b < 51.0 ft b sin 37.3° 5 76.0 sin 115.5° 1 b 5 76.0 sin 37.3° sin 115.5° 1 b < 51.03 a sin 27.2° 5 76.0 sin 115.5° 1 a 5 76.0 sin 27.2° sin 115.5° 1 a < 38.49 180° 2 115.5° 2 27.2° 5 37.3° A 5 99°, b < 34 cm, c < 21 cm c sin 29° 5 43 sin 99° 1 c 5 43 sin 29° sin 99° 1 c < 21.11 b sin 52° 5 43 sin 99° 1 b 5 43 sin 52° sin 99° 1 b < 34.31 180° 2 52° 2 29° 5 99° C 5 95°, b < 13 m, a < 11 m b sin 48° 5 18 sin 95° 1 b 5 18 sin 48° sin 95° 1 b < 13.43 a sin 37° 5 18 sin 95° 1 a 5 18 sin 37° sin 95° 1 a < 10.87 180° 2 37° 2 48° 5 95° a sin 45° 5 10 sin 30° 1 a 5 10 sin 45° sin 30° 1 a 5 10 ? 1 2 2 1 2 1 a 5 5 1 2 1 2 1 a 5 10 1 2 180° 2 105° 2 45° 5 30° a sin 60° 5 1 2 sin 45° 1 a 5 1 2 sin 60° sin 45° 1 a 5 1 2 ? 1 3 2 1 2 2 1 a 5 1 6 2 1 2 2 1 a 5 1 6 2 ? 2 1 2 5 1 3 180° 2 60° 2 75° 5 45°
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16. Angle A has measure . Now, using the Law of Sines, ; . The solutions are . 17. Angle B has measure . Now, using the Law of Sines, ; . The solutions are . 18. Angle A has measure . Now, using the Law of Sines, ; . The solutions are . 19. Angle A has measure . Now, using the Law of Sines, ; . The solutions are . 20. Angle B has measure . Now, using the Law of Sines, ; . The solutions are . 21. Angle A has measure . Now, using the Law of Sines, ; . The solutions are . 22. Angle A has measure . Now, using the Law of Sines, ; . The solutions are . A 5 56° 00 ¿ , a < 308 ft, c < 361 ft c sin 103° 10 ¿ 5 132 sin 20° 50 ¿ 1 c 5 132 sin 103° 10 ¿ sin 20° 50 ¿ 1 c < 361.394 a sin 56° 00 ¿ 5 132 sin 20° 50 ¿ 1 a 5 132 sin 56° 00 ¿ sin 20° 50 ¿ 1 a < 307.698 180° 2 20° 50 ¿ 2 103° 10 ¿ 5 56° 00 ¿ A 5 49° 40 ¿ , b < 16.1 cm, c < 25.8 cm c sin 91° 40 ¿ 5 19.7 sin 49° 40 ¿ 1 c 5 19.7 sin 91° 40 ¿ sin 49° 40 ¿ 1 c < 25.832 b sin 38° 40 ¿ 5 19.7 sin 49° 40 ¿ 1 b 5 19.7 sin 38° 40 ¿ sin 49° 40 ¿ 1 b < 16.146 180° 2 38° 40 ¿ 2 91° 40 ¿ 5 49° 40 ¿ B 5 18.5°, a < 239 yd, c < 230 yd c sin 74.3° 5 75.9 sin 18.5° 1 c 5 75.9 sin 74.3° sin 18.5° 1 c < 230.28 a sin 87.2° 5 75.9 sin 18.5° 1 a 5 75.9 sin 87.2° sin 18.5° 1 a < 238.92 180° 2 87.2° 2 74.3° 5 18.5° A 5 36.54°, a < 28.10 m, b < 44.17 m b sin 69.38° 5 45.38 sin 74.08° 1 b 5 45.38 sin 69.38° sin 74.08° 1 b < 44.167 a sin 36.54° 5 45.38 sin 74.08° 1 a 5 45.38 sin 36.54° sin 74.08° 1 a < 28.096 180° 2 74.08°
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This note was uploaded on 09/24/2011 for the course MATH 1310 taught by Professor Marks during the Spring '08 term at University of Houston.

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HLRGAATPreISM_35799X - Chapter 10 Applications of Trigonometry Vectors 10.1 The Law of Sines 1 The proportion shown in C is not valid because it

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