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The client says that she would like her creates an island kitchen design where

The client says that she would like her creates an island kitchen design where

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Additional Topics In Trigonometry
Section: Chapter Questions
Problem 40CT: To determine the angle of elevation of a star in the sky, you align the star and the top of the...
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The client says that she would like her appliances to be closer together in the new design. Dionne creates an island kitchen design where the distance between the stove and the sink is 1.3 meters and the distance between the sink and the refrigerator is 2.2 meters. The refrigerator makes a 31.9° angle with the stove. 5. Sketch a diagram of Dionne's design. Be sure to label all the known information. 6. Which law should you use to find the measure of the angle that the stove makes with the sink? Explain your choice. 7. Find all the missing measurements for the triangle that you sketched in question 5. Is more than one work triangle possible with these measurements? If so, sketch and label them completely. If not, explain why not. 8. Overall Dionne's client is happy with her design, but the client wonders if the distance between the refrigerator and the sink could be shortened to 1.35 meters if the other lengths and angle measures were allowed to remain the same. Is this possible? Explain why or why not.
Transcribed Image Text:The client says that she would like her appliances to be closer together in the new design. Dionne creates an island kitchen design where the distance between the stove and the sink is 1.3 meters and the distance between the sink and the refrigerator is 2.2 meters. The refrigerator makes a 31.9° angle with the stove. 5. Sketch a diagram of Dionne's design. Be sure to label all the known information. 6. Which law should you use to find the measure of the angle that the stove makes with the sink? Explain your choice. 7. Find all the missing measurements for the triangle that you sketched in question 5. Is more than one work triangle possible with these measurements? If so, sketch and label them completely. If not, explain why not. 8. Overall Dionne's client is happy with her design, but the client wonders if the distance between the refrigerator and the sink could be shortened to 1.35 meters if the other lengths and angle measures were allowed to remain the same. Is this possible? Explain why or why not.
You have been learming 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 a² = b² + c² – 2bc cos A a sin A sin B sin C b2 = a² +c² – 2ac cos B c² = a² + b² – 2ab cos 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 known as the kitchen work triangle. Dionne's company offers both standard and custom work triangles. STREHT KITCHEN L-SHAPED KITCHEN PARALLEL KITCHEN U 88 88 loo L-SHAPED TCHEN G-SHAPED KICHEN ELAND KITCHEN 88 88 88 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.
Transcribed Image Text:You have been learming 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 a² = b² + c² – 2bc cos A a sin A sin B sin C b2 = a² +c² – 2ac cos B c² = a² + b² – 2ab cos 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 known as the kitchen work triangle. Dionne's company offers both standard and custom work triangles. STREHT KITCHEN L-SHAPED KITCHEN PARALLEL KITCHEN U 88 88 loo L-SHAPED TCHEN G-SHAPED KICHEN ELAND KITCHEN 88 88 88 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.
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