Question

In: Advanced Math

Your remodeled home will have an open floor plan with the dining area, living area, and...

Your remodeled home will have an open floor plan with the dining area, living area, and kitchen in one large room. You will have a fireplace along one of the walls, and you plan to mount your TV above the fireplace. Your sofa will be directly across from the fireplace/TV, in the middle of the room. You want to have an electrical outlet installed on the floor so that it will be under the sofa. This will allow you to have end tables on each side of the sofa with lamps that can be plugged in the floor outlet, and you can also use the outlet to charge your devices. You need to tell the builder how far from the fireplace/TV you want the floor outlet to be installed. Some things to consider:

a. The mantel of your fireplace is 53 inches above the floor, and the bottom of the TV will be 5 inches above the mantel.

b. Your TV is 48 inches (which is the diagonal measure from corner to corner). The width is approximately 41.7 inches.

c. Your sofa's height from the floor to the top of the seat cushion is 18 inches. Its depth from front to back is 32 inches, and the depth of the seat cushion from the front to back is 22 inches.

d. The optimal angle of elevation from your eyes to the middle of a TV screen is 0 degrees, but that is impossible since you want the TV above the fireplace. You find online that neck strain can be avoided if the angle of elevation from your eyes to the middle of the screen is no more than 15 degrees.

Describe where you want the floor outlet installed. There's no single correct answer to this question: you could make a reasonable argument for many distances, based on the considerations above, as well as on your height and other things you might consider. To get FULL credit, you must include detailed diagrams, all computations, and verbal explanations that will support your answer.

Please explain in the simplest form. Thanks for assisting!

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