The Roof of a Building Is in the Shape of the Hyperbola

Multiple Choice

The roof of a building is in the shape of the hyperbola $\mathrm { y } ^ { 2 } - \mathrm { x } ^ { 2 } = 50$ , where $\mathrm { x }$ and $\mathrm { y }$ are in meters. Refer to the figu: and determine the height $h$ of the outside walls.
$A = 6 \mathrm {~m}$

A) $- 14 \mathrm {~m}$
B) $44 \mathrm {~m}$
C) $9.3 \mathrm {~m}$
D) $86 \mathrm {~m}$