Solve the Problem $y ^ { 2 } - x ^ { 2 } = 11$

Multiple Choice

Solve the problem.
-The roof of a building is in the shape of the hyperbola $y ^ { 2 } - x ^ { 2 } = 11$ , where $x$ and $y$ are in meters. Refer to the figure and determine the height $h$ of the outside walls.

$a=b=4 m$

A) $27 \mathrm {~m}$
B) $7 \mathrm {~m}$
C) $5.2 \mathrm {~m}$
D) $5 \mathrm {~m}$