The problem describes a kitchen design with an island. We are given the distance between the stove and the sink is 1.3 meters, the distance between the sink and the refrigerator is 2.2 meters, and the angle between the refrigerator and the stove is 31.9 degrees. The problem asks us to sketch a diagram of Dionne's design, labeling all the known information.

GeometryTriangleAngleDistanceSketchDiagram
2025/5/14

1. Problem Description

The problem describes a kitchen design with an island. We are given the distance between the stove and the sink is 1.3 meters, the distance between the sink and the refrigerator is 2.2 meters, and the angle between the refrigerator and the stove is 31.9 degrees. The problem asks us to sketch a diagram of Dionne's design, labeling all the known information.

2. Solution Steps

We can sketch a triangle representing the stove, sink, and refrigerator.
- Let the stove be at point A.
- Let the sink be at point B.
- Let the refrigerator be at point C.
- The distance between the stove and the sink is AB=1.3AB = 1.3 meters.
- The distance between the sink and the refrigerator is BC=2.2BC = 2.2 meters.
- The angle between the refrigerator and the stove is BAC=31.9\angle BAC = 31.9^\circ.
Draw a triangle ABC with the above information.

3. Final Answer

The final answer is a sketch of a triangle ABC with the following labels:
- Point A: Stove
- Point B: Sink
- Point C: Refrigerator
- AB=1.3AB = 1.3 meters
- BC=2.2BC = 2.2 meters
- BAC=31.9\angle BAC = 31.9^\circ
(Note: The sketch is not provided here, but can be easily drawn according to the specifications given above).

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