Solve the Problem $y ^ { 2 } - x ^ { 2 } = 49$

Multiple Choice

Solve the problem.
-The roof of a building is in the shape of the hyperbola $y ^ { 2 } - x ^ { 2 } = 49$ , where $x$ and $y$ are in meters. Determine the distance, $w$ , the outside walls are apart, if the height of each wall is $12 \mathrm {~m}$ .

A) $75 \mathrm {~m}$
B) $8.65 \mathrm {~m}$
C) $11.2 \mathrm {~m}$
D) $17.3 \mathrm {~m}$