A fireplace arch is to be constructed in the shape of a semiellipse. The opening is to

Chapter 10, Problem 54

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A fireplace arch is to be constructed in the shape of a semi ellipse. The opening is to have a height of 2 feet at the center and a width of 6 feet along the base (see figure). The contractor draws the outline of the ellipse on the wall by the method discussed on page 786.

(a) What are the required positions of the tacks?

(b) What is the length of the string?

                                               

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