To find: The height of the bridge 28 ft from the center.
Given information:
The bridge is in the shape of an upper half of an ellipse that spans a distance of 80 ft, and the maximum height of the bridge is 30 ft.
Calculation:
Since the bridge spans a distance of 80 ft, the value of
Assume that the center of the ellipse is at the origin. So, the equation of the ellipse can be written as
Substitute
Conclusion:
The height of the arch at a distance of 28 ft from the center is
Chapter 14 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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