The Roof of a Building Is in the Shape of the Hyperbola

question 104

Multiple Choice

The roof of a building is in the shape of the hyperbola $\mathrm { y } ^ { 2 } - \mathrm { x } ^ { 2 } = 50$ , where $\mathrm { x }$ and $\mathrm { y }$ are in meters. Refer to the figu: and determine the height $h$ of the outside walls.
$A = 6 \mathrm {~m}$

• A) \(- 14 \mathrm {~m}\)
• B) \(44 \mathrm {~m}\)
• C) \(9.3 \mathrm {~m}\)
• D) \(86 \mathrm {~m}\)

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Definitions:

Industrialization

The transformation process in which an economy shifts from largely focusing on agriculture to mainly concentrating on the manufacturing of products.

Suburban Tract Development

The process of dividing an area of land, often in the outskirts of a city, into lots for the construction of a large number of similar homes or residential units.

Levittown

One of the first mass-produced suburban housing developments in the U.S., symbolizing post-WWII suburban growth.

Recessions

Periods of economic decline identified by a decrease in GDP in two successive quarters, characterized by reduced spending and increased unemployment.