Answer:
The height of the telephone pole is of 408 inches = 34 ft.
Step-by-step explanation:
Each foot has 12 inches.
A 36 inch post cast a shadow of 24 inches.
This means that the shadow is [tex]\frac{24}{36} = \frac{2}{3}[/tex] of the real height.
At the same time a telephone pole cast a shadow of 22 ft 8 in.
Each feet has 12 inches, so it has:
22*12 + 8 = 272 in.
2/3 of the real height is 272 in. So
[tex]\frac{2h}{3} = 272[/tex]
[tex]h = \frac{272*3}{2}[/tex]
[tex]h = 408[/tex]
The height of the telephone pole is of 408 inches = 34 ft.
