Concept explainers
To find: Approximately where should the thumbtacks be placed.
Answer to Problem 65SGA
The thumbtacks should be placed about 1.8 feet from the center.
Explanation of Solution
Given information: Carpentry: For a remodeling project, a carpenter is building a picture window that is topped with an arch in the shape of a semi-ellipse. The width of the window is to be 7 feet and the height of the arch is to be 3 feet. To sketch the arch above the window, the carpenter uses a 7-foot string attached to two thumbtacks.
Calculation:
Determine a .
Notice that:
The width is major axis.
Determine b .
From the figure we have:
Conclude c .
Thus, the thumbtacks should be placed about 1.8 feet from the center.
Chapter 10 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
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