Dionne is currently working with a client who is converting her G-shaped kitchen into an island kitchen. Right now, the distance between the client's stove and refrigerator is 2.6 meters, the distance between the stove and the sink is 1.46 meters, and the distance between the client's refrigerator and sink is 2.75 meters. Use this information and what you know about the Law of Sines and the Law of Cosines to explore the questions below. 1. Sketch a diagram of the client's current kitchen. Be sure to label all the known information. 2 Which law should you use to find the measure of the angle that the refrigerator makes with the sink? Explain your choice.

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
Section5.6: The Law Of Cosines
Problem 54E
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Laws of sines and cosines 

#2 Which law should you use to find the measure of the angle that the refrigerator makes with the sink? Explain your choice. (context in image)

You have been learning about the Law of Sines and the Law of Cosines. These two important
laws allow you to solve for the unknown side lengths and angle measures in non-right trangles.
Law of Sines
Law of Cosines
a = b2 +c - 2bc cos A
b- a +e - 2Zac cos B
c = a² + b - 2ab cos C
a
sin A sin B sin C
You can use each of these laws only for certain types of triangles. You need to be careful when
determining what data you have been given and what you are looking to solve for so that you
choose the correct law.
Keep this information in mind as you read through the scenario below.
Dionne works for a design firm that specializes in creating inviting and functional kitchen
spaces. The majority of work in any kitchen involves the refrigerator, the stove, and the sink. The
placement of these three appliances in a kitchen form what is knowm as the kitchen work
triangle. Dionne's company offers both standard and custom work triangles.
RARALEL KD
Dionne is currently working with a client who is converting her G-shaped kikchen into an island
kitchen. Right now, the distance between the client's stove and refrigerator is 2.6 meters, the
distance between the stove and the sink is 1.46 meters, and the distance between the client's
refrigerator and sink is 2.75 meters.
Use this information and what you know about the Law of Sines and the Law of Cosines to
explore the questions below.
1. Sketch a diagram of the client's current kitchen. Be sure to label all the known information.
2. Which law should you use to find the measure of the angle that the refrigerator makes with the
sink? Explain your choice.
Transcribed Image Text:You have been learning about the Law of Sines and the Law of Cosines. These two important laws allow you to solve for the unknown side lengths and angle measures in non-right trangles. Law of Sines Law of Cosines a = b2 +c - 2bc cos A b- a +e - 2Zac cos B c = a² + b - 2ab cos C a sin A sin B sin C You can use each of these laws only for certain types of triangles. You need to be careful when determining what data you have been given and what you are looking to solve for so that you choose the correct law. Keep this information in mind as you read through the scenario below. Dionne works for a design firm that specializes in creating inviting and functional kitchen spaces. The majority of work in any kitchen involves the refrigerator, the stove, and the sink. The placement of these three appliances in a kitchen form what is knowm as the kitchen work triangle. Dionne's company offers both standard and custom work triangles. RARALEL KD Dionne is currently working with a client who is converting her G-shaped kikchen into an island kitchen. Right now, the distance between the client's stove and refrigerator is 2.6 meters, the distance between the stove and the sink is 1.46 meters, and the distance between the client's refrigerator and sink is 2.75 meters. Use this information and what you know about the Law of Sines and the Law of Cosines to explore the questions below. 1. Sketch a diagram of the client's current kitchen. Be sure to label all the known information. 2. Which law should you use to find the measure of the angle that the refrigerator makes with the sink? Explain your choice.
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