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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Chapter1: Functions And Models
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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.
Transcribed Image Text:6 m 20 m 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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