Answer:
Height of a cell tower is, 30 m
Explanation:
Proportion states that the two fractions or ratios are equal.
As per the given statement:
Let height of a cell tower be h.
Height of a pole = 3m ,
Shadow of a pole = 4 m and
shadow of a cell tower = 36+4 = 40 m
By definition of proportion;
![\frac{\text{Height of a cell tower}}{\text{Shadow of a cell tower}} = \frac{\text{Height of a pole}}{\text{Shadow of a pole}}](https://img.qammunity.org/2019/formulas/mathematics/middle-school/im5d61ygro4agpw3alww5nl6uhz6clncpo.png)
Substitute the given values we get;
![(h)/(40)=(3)/(4)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/1bgsepd5zw5odvp61q5nhnoephjfhxti2e.png)
by cross multiply we get;
![4h = 120](https://img.qammunity.org/2019/formulas/mathematics/middle-school/rjaqwhuds6ktnxtd70cgi656r7fjf5k8l0.png)
Divide both sides by 4 we get;
h = 30 m
Therefore, the height of a cell tower is, 30 m