Answer:
Height of a cell tower is, 30 m
Step-by-step 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;
[tex]\frac{\text{Height of a cell tower}}{\text{Shadow of a cell tower}} = \frac{\text{Height of a pole}}{\text{Shadow of a pole}}[/tex]
Substitute the given values we get;
[tex]\frac{h}{40}=\frac{3}{4}[/tex]
by cross multiply we get;
[tex]4h = 120[/tex]
Divide both sides by 4 we get;
h = 30 m
Therefore, the height of a cell tower is, 30 m
