Write an Equation for the Hyperbola $y ^ { 2 } - 2 x ^ { 2 } = 56$

question 148

Multiple Choice

Write an equation for the hyperbola.
-The roof of a building is in the shape of the hyperbola $y ^ { 2 } - 2 x ^ { 2 } = 56$ , where $x$ and $y$ are in meters. Refer to the figure and determine the height, $h$ , of the outside walls.
$$A = 3 \mathrm {~m}$$

• A) \(3.3 \mathrm {~m}\)
• B) \(11 \mathrm {~m}\)
• C) \(8.6 \mathrm {~m}\)
• D) \(74 \mathrm {~m}\)

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