Answer:
[tex]\frac{50}{3}\ foot\ or\ 16.67\ foot[/tex]
Step-by-step explanation:
Hight of Evie[tex]=5\ feet[/tex]
Shadow[tex]=9\ foot[/tex]
Shadow of utility pole[tex]=30\ foot[/tex]
Let hight of utility pole[tex]=x\ foot[/tex]
[tex]\frac{Height\ of\ Evie}{Shadow\ of\ Evie}= \frac{Height\ of\ pole}{Shadow\ of\ Evie}\\\\\frac{5}{9}=\frac{x}{30}\\\\ x=30\times \frac{5}{9}\\\\x=\frac{50}{3}=16.67\ foot[/tex]