Question

a pole that is 3.3 M tall casts a shadow that is 1.22 M long at the same time a nearby Tower cast a shadow that is 50.75 M long how tall is the Tower

Answer 1

You set this problem up as a Ratio and Proportion.

3.3/1.2=?/50.75

Cross multiply 3.3 x 50.75 then divide your answer by 1.2.

Your answer will be 139.56 M

Answer 2

Since there is no distance between the pole and the base of the tower, we can assume that the pole is at the base of the tower. 
We can create a right triangles between the pole and its shadow and between the tower and its shadow as shown in the figure. Let $x$ be the height of the tower. Since our triangles are similar the ratio between its sides is going to be proportional, so we can establish a proportion to find $x$:
$\frac{x}{3.3} = \frac{50.75}{1.22}$
$x= \frac{(50.75)(3.3)}{1.22}$
$x=137.27$

We can conclude that the tower is 137.27 meters tall.