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A triangle ABC must be constructed with A = 40°, a = 3.6 feet, and c= 5.5 feet. The solutions for the other two angles were found to be B= 60.9° and C= 79.1. One angle was found using Law of Sines; the other was found using subtraction from 180°. Is there another possible solution? YES NO Why? If so, what are the other measures that angles B and C can have?

A triangle ABC must be constructed with A = 40°, a = 3.6 feet, and c= 5.5 feet. The solutions for the other two angles were found to be B= 60.9° and C= 79.1. One angle was found using Law of Sines; the other was found using subtraction from 180°. Is there another possible solution? YES NO Why? If so, what are the other measures that angles B and C can have?

Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter5: Trigonometric Functions: Right Triangle Approach
Section5.5: The Law Of Sines
Problem 2E: The four cases in which we can solve a triangle are ASASSASASSSS a In which of these cases can we...
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(c) A triangle ABC must be constructed with A = 40°, a = 3.6 feet, and c = 5.5 feet. The solutions for the other two angles were found to be B = 60.9° and C= 79.1°. One angle was found using Law of Sines; the other was found using subtraction from 180°. Is there another possible solution? YES NO Why? If so, what are the other measures that angles B and C can have?
Transcribed Image Text:(c) A triangle ABC must be constructed with A = 40°, a = 3.6 feet, and c = 5.5 feet. The solutions for the other two angles were found to be B = 60.9° and C= 79.1°. One angle was found using Law of Sines; the other was found using subtraction from 180°. Is there another possible solution? YES NO Why? If so, what are the other measures that angles B and C can have?
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