Solve the Problem $\mathrm { y } ^ { 2 } - \mathrm { x } ^ { 2 } = 33$

Multiple Choice

Solve the problem.
-The roof of a building is in the shape of the hyperbola $\mathrm { y } ^ { 2 } - \mathrm { x } ^ { 2 } = 33$ , where $\mathrm { x }$ and $\mathrm { y }$ are in meters. Refer to the figure and determine the height $h$ of the outside walls.


$a = b = 7 m$

A) $40 \mathrm {~m}$
B) $35 \mathrm {~m}$
C) $125 \mathrm {~m}$
D) $11.2 \mathrm {~m}$