A semielliptical arch supports a bridge that spans a river 20 yards wide. The center of the arch is 6 yards above the river's center. Write an equation for the ellipse so that the x-axis coincides with the water level and the y-axis passes through the center of the arch. + y2 =1 36
A semielliptical arch supports a bridge that spans a river 20 yards wide. The center of the arch is 6 yards above the river's center. Write an equation for the ellipse so that the x-axis coincides with the water level and the y-axis passes through the center of the arch. + y2 =1 36
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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A semielliptical arch supports a bridge that spans a river 20 yards wide. The center of the arch is 6 yards above the river's center. Write an equation for the ellipse so that the x-axis coincides with the water level and the y-axis passes through the center of the arch. + y2 =1
36
![**Question 12:**
A semielliptical arch supports a bridge that spans a river 20 yards wide. The center of the arch is 6 yards above the river’s center. Write an equation for the ellipse so that the x-axis coincides with the water level and the y-axis passes through the center of the arch.
Diagram Description:
The image shows a semielliptical arch across a river. The arch represents a bridge structure, with the water level aligned with the x-axis. The width of the river, from one end of the arch to the other, is depicted as 20 yards. The peak of the arch, representing the highest point above the river, is 6 yards above the water level.
Equation provided:
\[ \frac{y^2}{36} = 1 \]
(Note: The full ellipse equation can be considered by including the term for x, based on the width of the river and the height of the arch center.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbd661bb8-35cb-4e16-9d2e-116a70944029%2F78645e6a-88e2-42d7-994b-e3b10de65739%2F3a0sjp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Question 12:**
A semielliptical arch supports a bridge that spans a river 20 yards wide. The center of the arch is 6 yards above the river’s center. Write an equation for the ellipse so that the x-axis coincides with the water level and the y-axis passes through the center of the arch.
Diagram Description:
The image shows a semielliptical arch across a river. The arch represents a bridge structure, with the water level aligned with the x-axis. The width of the river, from one end of the arch to the other, is depicted as 20 yards. The peak of the arch, representing the highest point above the river, is 6 yards above the water level.
Equation provided:
\[ \frac{y^2}{36} = 1 \]
(Note: The full ellipse equation can be considered by including the term for x, based on the width of the river and the height of the arch center.)
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