a.
\Observe the graph :
\The transverse axis is vertical.
\Standard form of vertical hyperbola is .
The vertices of the hyperbola is and
.
The centre of the hyperbola is midpoint of vertices and
.
Center of the hyperbola is .
Distance between one of the vertices to the center
is
.
Length of the conjugate axis of a hyperbola is units.
.
Substitute ,
and
in
.
Thus, equation of hyperbola is .
b.
\Each unit on the coordinate plane represents .
The length of the narrowest width of the building is units.
Thus, length of the narrowest width of the building is .
a. Equation of hyperbola is .
b. Length of the narrowest width of the building is .