Solve the Problem $y ^ { 2 } - 3 x ^ { 2 } = 13$

Multiple Choice

Solve the problem.
-The roof of a building is in the shape of the hyperbola $y ^ { 2 } - 3 x ^ { 2 } = 13$ , where $x$ and $y$ are in meters. Refer to the figure and determine the height, $h$ , of the outside walls.
$A = 4 \mathrm {~m}$

A) $4.4 \mathrm {~m}$
B) $61 \mathrm {~m}$
C) $7.8 \mathrm {~m}$
D) $19 \mathrm {~m}$