Solve the Problem $y^{2}-x^{2}=47$ , Where $x$ And $y$ Are in Meters $h$ Of the Outside Walls

Multiple Choice

Solve the problem. Round your answer to the nearest tenth.
-The roof of a building is in the shape of the top half of the hyperbola $y^{2}-x^{2}=47$ , where $x$ and $y$ are in meters. Refer to the figure and determine the height $h$ of the outside walls.

A) $34.0 \mathrm{~m}$
B) $11.3 \mathrm{~m}$
C) $128.0 \mathrm{~m}$
D) $38.0 \mathrm{~m}$