Let's denote the height of the pole as "h" in feet.
According to the problem, the boy's height is 3(1/2) feet, which can be written as 3.5 feet. The length of the boy's shadow is 6 feet.
Similarly, the length of the pole's shadow is 24 feet.
We can set up the following proportion:
(Height of the boy) / (Length of the boy's shadow) = (Height of the pole) / (Length of the pole's shadow)
Plugging in the values, we have:
3.5 feet / 6 feet = h / 24 feet
To solve for "h," we can cross-multiply and then divide:
6 feet * h = 3.5 feet * 24 feet
6h = 84
Dividing both sides by 6:
h = 84 / 6
h = 14
Therefore, the height of the pole is 14 feet.