Two towers, A and B, standing vertically on a horizontal ground, appear in a vertical aerial photograph as shown in the figure.

The length of the image of the tower A on the photograph is $1.5$ cm and the tower B is $2.0$ cm. The distance of the top tower A (as shown by the arrowhead) is $4.0$ cm and the distance of the top of the tower B is $6.0$ cm, as measured from the principal point $p$ of the photograph. If the height of the tower B is $80$ m, the height (in meters) of the tower A is ________