Solve the Problem $8 y ^ { 2 } - x ^ { 2 } = 22$

Multiple Choice

Solve the problem.
-The roof of a building is in the shape of the hyperbola $8 y ^ { 2 } - x ^ { 2 } = 22$ , where $x$ and $y$ are in meters. Refer to the figure and determine the height, h, of the outside walls.


$a = b = 6 m$

A) $7.6 \mathrm {~m}$
B) $2.7 \mathrm {~m}$
C) $58 \mathrm {~m}$
D) $7.3 \mathrm {~m}$