Find the height of the arch.
Answer to Problem 79RE
At
At
At
Explanation of Solution
Given information:
A bridge is built in the shape of a semielliptical arch. The bridge has a span of
Calculation:
The span of the bridge is given as
Now, divide both sides of the equation by
Thus, the maximum height of the bridge is
Take the center of the ellipse as
Now, substitute
To find the height of the arch at a distance of
Now, subtract
Multiply both sides by
Hence, the height of the arch at
To find the height of the arch at a distance of
Now, subtract
Multiply both sides by
Hence, the height of the arch at
To find the height of the arch at a distance of
Now, subtract
Multiply both sides of the equation by
Hence, the height of the arch at
Chapter 10 Solutions
Precalculus
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