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`:

`(x)/(3.3) = (50.75)/(1.22)`

`x= ((50.75)(3.3))/(1.22)`

`x=137.27`

We can conclude that the tower is 137.27 meters tall.