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
.