Solve the Problem $y ^ { 2 } - 6 x ^ { 2 } = 9$

Multiple Choice

Solve the problem.
-The roof of a building is in the shape of the hyperbola $y ^ { 2 } - 6 x ^ { 2 } = 9$ , where $x$ and $y$ are in meters. Refer to the figure and determine the height, $h$ , of the outside walls.


$\mathrm { a } = \mathrm { b } = 9 \mathrm {~m}$

A) $9.3 \mathrm {~m}$
B) $22.2 \mathrm {~m}$
C) $495 \mathrm {~m}$
D) $87 \mathrm {~m}$