An arc in the shape of the upper half of an ellipse is used to support a bridge that is to span a river 20 meters wide. The center of the arch is 6 meters above the center of the river. a.). Write an equation for the ellipse if the x-axis coincides with the water level and the y- axis passes through the center of the arch. b.). A pontoon boat which is 5 m high and 4 m wide wants to pass under the bridge. Will the boat be able to pass under the bridge. Justify your answer.
An arc in the shape of the upper half of an ellipse is used to support a bridge that is to span a river 20 meters wide. The center of the arch is 6 meters above the center of the river. a.). Write an equation for the ellipse if the x-axis coincides with the water level and the y- axis passes through the center of the arch. b.). A pontoon boat which is 5 m high and 4 m wide wants to pass under the bridge. Will the boat be able to pass under the bridge. Justify your answer.
Chapter11: Conics
Section11.3: Ellipses
Problem 11.51TI: A planet moves in an elliptical orbit around its sun. The closest the planet gets to the sun is...
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Source: OpenStax, Precalculus. OpenStax CNX. Apr 18, 2018
An arc in the shape of the upper half of an ellipse is used to support a bridge that is to span
a river 20 meters wide. The center of the arch is 6 meters above the center of the river.
a.). Write an equation for the ellipse if the x-axis coincides with the water level and the y-
axis passes through the center of the arch.
b.). A pontoon boat which is 5 m high and 4 m wide wants to pass under the bridge. Will
the boat be able to pass under the bridge. Justify your answer.
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