Solve Applied Problems Involving Ellipses

question 88

Multiple Choice

Solve Applied Problems Involving Ellipses
Solve the problem.
-The arch beneath a bridge is semi-elliptical, a one-way roadway passes under the arch. The width of the roadway is 30 feet and the height of the arch over the center of the roadway is 13 feet. Two trucks plan to
Use this road. They are both 12 feet wide. Truck 1 has an overall height of 12 feet and Truck 2 has an
Overall height of 11 feet. Draw a rough sketch of the situation and determine which of the trucks can pass
Under the bridge.

• A)Truck 2 can pass under the bridge, but Truck 1 cannot.
• B)Both Truck 1 and Truck 2 can pass under the bridge.
• C)Neither Truck 1 nor Truck 2 can pass under the bridge.
• D)Truck 1 can pass under the bridge, but Truck 2 cannot.

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Definitions:

Minimum Level

The Minimum Level refers to the least amount, extent, or degree that is acceptable or achievable in a specific context.

Marginal Cost

The financial requirement for producing a supplementary unit of a product.

Average Total Cost

The total cost divided by the quantity of output produced, representing the average cost per unit of output.

Long-Run Cost Diagram

A graphical representation depicting the relationship between output and the long-term costs of production when all inputs can be varied.