SOLUTION: A bridge is built in the shape of a semielliptical arch. The bridge has a span of 120 feet and a maximum height of 25 feet. Choose a suitable rectangular coordinate system and fi

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Question 855099: A bridge is built in the shape of a semielliptical arch. The bridge has a span of 120 feet and a maximum
height of 25 feet. Choose a suitable rectangular coordinate system and find the height of the arch at distances of
10, 30, and 50 feet from the center.

Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
A bridge is built in the shape of a semielliptical arch. The bridge has a span of 120 feet and a maximum
height of 25 feet. Choose a suitable rectangular coordinate system and find the height of the arch at distances of
10, 30, and 50 feet from the center
***
Work with an ellipse with a horizontal major axis with center at the origin.
Its form of equation:
a=60
a^2=3600
b=25
b^2=625
equation:


take sqrt of both sides:




f(10)=≈24.65
f(30)=≈21.65
f(50)=≈13.82
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