The Television Tower

           Bombay has a high television tower. Supposing you do not know the height, but you have a photograph of the tower, is there any way in which you can find the real height of the tower?

Answer:   Yes. It is possible; we have the correct measurements of its height and base in the photograph.

Let us assume that the height is 95 millimetres and the base 19 millimetres in the photograph. Then we will have to take the measurement of the base of the real tower – which we shall suppose is 15 metres wide.

                  The tower in the photograph and the real tower are proportionally the same, geometrically. In other words, the ratio between the height and the base of the tower in the photograph is the same as that between the height and the base of the real tower.

                  In the photograph it is 95: 19 i.e. 5. So the height of the tower is 5 times greater than the base.

The height of the real tower is:

15x 5 = 75 Metres