Explanation Procedure used: “The steps of finding the unknown parts of an oblique triangle with given two angles and a side are: 1. First find the third angle of the triangle by adding the two known angles and subtract the sum from 180 ° or 2 π radians . 2. Set up a ratio with the given side and sine of the opposite angle. 3. Set up a second ratio with an unknown side and the sine of the opposite angle. 4. Form a proportion using the ratios in Step 2 and 3 and solve the proportion for the unknown side. 5. Repeat Steps 2-4 if the value of the third side is needed.” Result used: Law of sine: The law of sines states that the ratios of the sides of a triangle to the sines of the angles opposite these respective sides are equal. That is, a sin A = b sin B = c sin C . Calculation: Let the known parts of an oblique triangle be, a = 46 m, ∠ A = 65 ° , ∠ B = 52 ° . Draw the triangle as shown below in Figure 1. The sum of the angles of the triangle is 180 ° . The value of ∠ C is calculated as follows. ∠ A + ∠ B + ∠ C = 180 ° 65 ° + 52 ° + ∠ C = 180 ° 117 ° + ∠ C = 180 ° ∠ C = 180 ° − 117 ° = 63 ° The value of b is calculated as follows. Use a sin A = b sin B , substitute a = 46 m , ∠ A = 65 ° and ∠ B = 52 ° in a sin A = b sin B and obtain the value of b as follows

MML F/COLLEGE MAT F/TRADES - ACCESS CODE

10th Edition

ISBN: 9781323845967

Author: Hobbs

Publisher: PEARSON

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Chapter 20, Problem 7CA

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To sketch: A triangle by assigning the values to three parts of the triangle and use the law of sines and other methods to find remaining angles and sides.

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Chapter 20, Problem 6CA

Chapter 20, Problem 8CA

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Chapter 20 Solutions

MML F/COLLEGE MAT F/TRADES - ACCESS CODE

Ch. 20.1 - Prob. 1LC Ch. 20.1 - Prob. 1E Ch. 20.1 - Prob. 2E Ch. 20.1 - Prob. 3E Ch. 20.1 - Prob. 4E Ch. 20.1 - Prob. 5E Ch. 20.1 - Prob. 6E Ch. 20.1 - Prob. 7E Ch. 20.1 - Prob. 8E Ch. 20.1 - Prob. 9E

Ch. 20.1 - Prob. 10E Ch. 20.1 - Prob. 11E Ch. 20.1 - Prob. 12E Ch. 20.1 - Prob. 13E Ch. 20.1 - Prob. 14E Ch. 20.1 - Prob. 15E Ch. 20.1 - Prob. 16E Ch. 20.1 - Prob. 17E Ch. 20.1 - Prob. 18E Ch. 20.1 - Prob. 19E Ch. 20.1 - Prob. 20E Ch. 20.1 - Prob. 21E Ch. 20.1 - Prob. 22E Ch. 20.1 - Prob. 23E Ch. 20.1 - Prob. 24E Ch. 20.1 - Prob. 25E Ch. 20.1 - Prob. 26E Ch. 20.1 - Prob. 27E Ch. 20.1 - Prob. 28E Ch. 20.1 - Prob. 29E Ch. 20.1 - Prob. 30E Ch. 20.1 - Prob. 31E Ch. 20.1 - Prob. 32E Ch. 20.2 - Prob. 1LC Ch. 20.2 - Prob. 2LC Ch. 20.2 - Prob. 1E Ch. 20.2 - Prob. 2E Ch. 20.2 - Prob. 3E Ch. 20.2 - Prob. 4E Ch. 20.2 - Prob. 5E Ch. 20.2 - Prob. 6E Ch. 20.2 - Prob. 7E Ch. 20.2 - Prob. 8E Ch. 20.2 - Prob. 9E Ch. 20.2 - Prob. 10E Ch. 20.2 - Prob. 11E Ch. 20.2 - Prob. 12E Ch. 20.2 - Prob. 13E Ch. 20.2 - Prob. 14E Ch. 20.2 - Prob. 15E Ch. 20.2 - Prob. 16E Ch. 20.2 - Prob. 17E Ch. 20.2 - Prob. 18E Ch. 20.2 - Prob. 19E Ch. 20.2 - Prob. 20E Ch. 20.2 - Prob. 21E Ch. 20.2 - Prob. 22E Ch. 20.2 - Prob. 23E Ch. 20.2 - Prob. 24E Ch. 20.2 - Prob. 25E Ch. 20.3 - Prob. 1LC Ch. 20.3 - Prob. 2LC Ch. 20.3 - Evaluate. Ch. 20.3 - Prob. 4LC Ch. 20.3 - Prob. 1E Ch. 20.3 - Prob. 2E Ch. 20.3 - Prob. 3E Ch. 20.3 - Prob. 4E Ch. 20.3 - Prob. 5E Ch. 20.3 - Prob. 6E Ch. 20.3 - Prob. 7E Ch. 20.3 - Prob. 8E Ch. 20.3 - Prob. 9E Ch. 20.3 - Prob. 10E Ch. 20.3 - Prob. 11E Ch. 20.3 - Prob. 12E Ch. 20.3 - Prob. 13E Ch. 20.3 - Prob. 14E Ch. 20.3 - Prob. 15E Ch. 20.3 - Prob. 16E Ch. 20.3 - Prob. 17E Ch. 20.3 - Prob. 18E Ch. 20.3 - Prob. 19E Ch. 20.3 - Prob. 20E Ch. 20.3 - Prob. 21E Ch. 20.3 - Prob. 22E Ch. 20.3 - Prob. 23E Ch. 20.3 - Prob. 24E Ch. 20.3 - Prob. 25E Ch. 20.3 - Prob. 26E Ch. 20.3 - Prob. 27E Ch. 20.3 - Prob. 28E Ch. 20.3 - Prob. 29E Ch. 20.3 - Prob. 30E Ch. 20.3 - Prob. 31E Ch. 20.3 - Prob. 32E Ch. 20.3 - Prob. 33E Ch. 20.3 - Prob. 34E Ch. 20.3 - Prob. 35E Ch. 20.3 - Prob. 36E Ch. 20.3 - Prob. 37E Ch. 20.3 - Prob. 38E Ch. 20.3 - Prob. 39E Ch. 20.3 - Prob. 40E Ch. 20.3 - Prob. 41E Ch. 20.3 - Prob. 42E Ch. 20.3 - Prob. 43E Ch. 20.3 - Prob. 44E Ch. 20.3 - Prob. 45E Ch. 20.3 - Prob. 46E Ch. 20.3 - Prob. 47E Ch. 20.4 - Evaluate to four significant digits. 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