Explanation Formula used: For any triangle with sides a, b and c , opposite angles A , B and C respectively, the law of Cosines and law of Sines can be defined as follows. Law of cosines: a 2 = b 2 + c 2 − 2 b c cos A This can be also written as follows. b 2 = a 2 + c 2 − 2 a c cos B c 2 = a 2 + b 2 − 2 a b cos C Law of sines: a sin A = b sin B = c sin C Calculation: The Boston and Halifax are two cities. Given that, Boston is 650 km and 21 ° south of west from Halifax. Therefore, the angle B will be equal to 21 ° . < H B S = 21 ° − 5.6 ° = 15.4 ° . The ship located 10.5 ° east of south from Halifax and 5.6 ° north of east from Boston. Sketch the given data and mention the known measures as shown below in Figure 1. From Figure 1, it is observed that the distance between the ship and cities are BS and SH. Now, use the law of sines and find the distance BS and SH as follows. a sin A = c sin C S H sin ( 21 ° − 5.6 ° ) = 650 sin S S H sin 15.4 ° = 650 sin ( 180 ° − 15.4 ° − ( 69 ° + 10.5 ° ) ) S H sin 15.4 ° = 650 sin ( 180 ° − 15

11th Edition

ISBN: 9780134437705

Author: Washington

Publisher: PEARSON

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Chapter 9, Problem 74RE

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The distance between the ship and the cities.

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Chapter 9, Problem 73RE

Chapter 9, Problem 75RE

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Chapter 9 Solutions

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Ch. 9.1 - For the vectors in Example 2, show that R = B + C...Ch. 9.1 - Prob. 2PE Ch. 9.1 - Prob. 1E Ch. 9.1 - Prob. 2E Ch. 9.1 - Prob. 3E Ch. 9.1 - Prob. 4E Ch. 9.1 - Prob. 5E Ch. 9.1 - Prob. 6E Ch. 9.1 - Prob. 7E Ch. 9.1 - Prob. 8E

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