Assume Za is opposite side a, 2B is opposite side b, and Zy is opposite side c. Solve triangle ABC if ZA = a = 32.6°, b 12.3 in, and c = 14.3 in. Using the Law of Cosines, in. Your answer should accurate to 2 decimal places. Using the Law of Cosines again, = cos B a Your answer should accurate to 5 decimal places. Thus, B- Your answer should accurate to 2 decimal places. cosZC = cos y Your answer should accurate to 5 decimal places. Thus, y 2 Your answer should accurate to 2 decimal places. Check by seeing if the total of the three angles is 180°.

Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter11: Introduction To Trigonometry
Section11.4: Applications With Acute Triangles
Problem 8E
Question
Assume Za is opposite side a, ZB is opposite side b, and Zy is opposite side c.
Solve triangle ABC if ZA = = 32.6°, b = 12.3 in, and c = 14.3 in.
Using the Law of Cosines,
in.
Your answer should accurate to 2 decimal places.
Using the Law of Cosines again,
COSZB = cos B 2
Your answer should accurate to 5 decimal places.
Thus, B 2
Your answer should accurate to 2 decimal places.
cosZC =
= cos y
Your answer should accurate to 5 decimal places.
Thus, y
Your answer should accurate to 2 decimal places.
Check by seeing if the total of the three angles is 180°.
Transcribed Image Text:Assume Za is opposite side a, ZB is opposite side b, and Zy is opposite side c. Solve triangle ABC if ZA = = 32.6°, b = 12.3 in, and c = 14.3 in. Using the Law of Cosines, in. Your answer should accurate to 2 decimal places. Using the Law of Cosines again, COSZB = cos B 2 Your answer should accurate to 5 decimal places. Thus, B 2 Your answer should accurate to 2 decimal places. cosZC = = cos y Your answer should accurate to 5 decimal places. Thus, y Your answer should accurate to 2 decimal places. Check by seeing if the total of the three angles is 180°.
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