Jim and Brenda are preparing for a trigonometry test. When they see this practice question, Jim decides to use Sine Law and Brenda decides to use Cosine Law to start solving the whole triangle. Who is correct? Find any mistakes and explain what went wrong. After finding any errors, solve the triangle. State side b rounded to the nearest hundredth of a metre and

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
Question
Jim and Brenda are preparing for a trigonometry test. When they see this practice question, Jim
decides to use Sine Law and Brenda decides to use Cosine Law to start solving the whole triangle. Who is
correct? Find any mistakes and explain what went wrong. After finding any errors, solve the triangle. State
side b rounded to the nearest hundredth of a metre and ZC as an integer.
A
109°
2.7 m
с
Jim's Calculations:
sin 18
2.7
sin C
7.1
sin C =
sin 18
2.7
LC = 0.81°
- 7.1
.
7.1 m
Brenda's Calculations:
a² = 2.7² +7.1² - 2(2.7) (7.1) cos 109
a²70.18228304
a = 8.4 m
18⁰
B
Transcribed Image Text:Jim and Brenda are preparing for a trigonometry test. When they see this practice question, Jim decides to use Sine Law and Brenda decides to use Cosine Law to start solving the whole triangle. Who is correct? Find any mistakes and explain what went wrong. After finding any errors, solve the triangle. State side b rounded to the nearest hundredth of a metre and ZC as an integer. A 109° 2.7 m с Jim's Calculations: sin 18 2.7 sin C 7.1 sin C = sin 18 2.7 LC = 0.81° - 7.1 . 7.1 m Brenda's Calculations: a² = 2.7² +7.1² - 2(2.7) (7.1) cos 109 a²70.18228304 a = 8.4 m 18⁰ B
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