Asked by Student
A bridge is built in the shape of a semi elliptical arch. It has a span of 96 feet. The height of the arch 29 feet from the center is to be 10 feet. Find the height of the arch at its center.
Answers
Answered by
Steve
the semi-axis along the base is 48, so we have
x^2/48^2 + y^2/b^2 = 1
The curve contains (29,10), so
29^2/48^2 + 10^2/b^2 = 1
b = 12.55
x^2/48^2 + y^2/b^2 = 1
The curve contains (29,10), so
29^2/48^2 + 10^2/b^2 = 1
b = 12.55
Answered by
Marie
An archway that is above a highway is in the shape of semi ellipse 60ft wide and 25 ft high. How high is the archway 10 ft away from the center?
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