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 $y ^ { 2 } - 6 x ^ { 2 } = 46$ , where $x$ and $y$ are in meters. Refer to the figure and determine the height, h, of the outside walls.
$$A = 9 \mathrm {~m}$$

A) 532 m
B) 9.3 m
C) 87 m
D) 23.1 m