Solve the Problem $y ^ { 2 } - x ^ { 2 } = 66$

Multiple Choice

Solve the problem.
-The roof of a building is in the shape of the hyperbola $y ^ { 2 } - x ^ { 2 } = 66$ , where $x$ and $y$ are in meters. Determine the distance, w, the outside walls are apart, if the height of each wall is $10 \mathrm {~m}$ .

A) $11.7 \mathrm {~m}$
B) $5.85 \mathrm {~m}$
C) $34 \mathrm {~m}$
D) $12.9 \mathrm {~m}$