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. 3. Find all the angles in this work triangle. Sh

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Question

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.

3. Find all the angles in this work triangle. Show all of your calculations. Add the angle measures
to the sketch you created in question 1. 

4.What is the area of the client’s current work triangle? How do you know?


Algebra 2
-arcim zt aresin x-1, 1] ax-aresim zt
Module 10 Law of Sines & Cosines Assignment
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 triangles.
Law of Sines
b
Law of Cosines
a? = b² + c² - 2bc cos A
b2 = a? + c2 – 2ac cos B
c² = a² + b² – 2ab cos C
a
sin A sin B
sin C
You can use cach 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 known as the kitchen work
triangle. Dionne's company offers both standard and custom work triangles.
STAEHT KITCHEN
L-SHAPED KITCHEN
PARALLEL KITCHEN
图
88
G-SHAPED KITCHEN
ELAND KITCHEN
L-SHAPED KITCHEN
88
88
Transcribed Image Text:Algebra 2 -arcim zt aresin x-1, 1] ax-aresim zt Module 10 Law of Sines & Cosines Assignment 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 triangles. Law of Sines b Law of Cosines a? = b² + c² - 2bc cos A b2 = a? + c2 – 2ac cos B c² = a² + b² – 2ab cos C a sin A sin B sin C You can use cach 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 known as the kitchen work triangle. Dionne's company offers both standard and custom work triangles. STAEHT KITCHEN L-SHAPED KITCHEN PARALLEL KITCHEN 图 88 G-SHAPED KITCHEN ELAND KITCHEN L-SHAPED KITCHEN 88 88
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