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 $5 y ^ { 2 } - x ^ { 2 } = 47$ , where $x$ and $y$ are in meters. Refer to the figure and determine the height, $h$ , of the outside walls.
$$A = 3 m$$

A) 7.5 m
B) 3.3 m
C) 11.2 m
D) 56 m