The client says that she would like her appliances to be closer together in the new design. Dionnecreates an island kitchen design where the distance between the stove and the sink is 1.3 metersand the distance between the sink and the refrigerator is 2.2 meters. The refrigerator makes a31.9° 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 morethan one work triangle possible with these measurements? If so, sketch and label themcompletely. If not, explain why not.8. Overall Dionne's client is happy with her design, but the client wonders if the distancebetween the refrigerator and the sink could be shortened to 1.35 meters if the other lengths andangle 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 importantlaws allow you to solve for the unknown side lengths and angle measures in non-right triangles.Law of Sinesb| Law of Cosinesa² = b² + c² – 2bc cos Aasin A sin Bsin Cb2 = a² +c² – 2ac cos Bc² = a² + b² – 2ab cos CYou can use each of these laws only for certain types of triangles. You need to be careful whendetermining what data you have been given and what you are looking to solve for so that youchoose 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 kitchenspaces. The majority of work in any kitchen involves the refrigerator, the stove, and the sink. Theplacement of these three appliances in a kitchen form what is known as the kitchen worktriangle. Dionne's company offers both standard and custom work triangles.STREHT KITCHENL-SHAPED KITCHENPARALLEL KITCHENU 8888looL-SHAPED TCHENG-SHAPED KICHENELAND KITCHEN888888Dionne is currently working with a client who is converting her G-shaped kitchen into an islandkitchen. Right now, the distance between the client's stove and refrigerator is 2.6 meters, thedistance between the stove and the sink is 1.46 meters, and the distance between the client'srefrigerator and sink is 2.75 meters.Use this information and what you know about the Law of Sines and the Law of Cosines toexplore the questions below.

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