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

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
icon
Related questions
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
Expert Solution
steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Recommended textbooks for you
Elementary Geometry for College Students
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning