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x = 124 * 10/16 = 77.5
Let's denote the height of the cell phone tower as "x". We know that the post is 10 ft tall with a shadow of 16 in, and the tower has a shadow of 124 ft. Therefore, we have the following proportion:
(height of post) / (shadow of post) = (height of tower) / (shadow of tower)
So, we can set up the proportion as:
10 ft / 16 in = x ft / 124 ft
First, let's convert the height of the post from feet to inches to make the units consistent:
10 ft * 12 in/1 ft = 120 in
Now, we can substitute the values into the proportion:
120 in / 16 in = x ft / 124 ft
Simplifying the proportion:
7.5 = x / 124
To find x, we can cross multiply:
7.5 * 124 = x
x ≈ 930
Therefore, the height of the cell phone tower is approximately 930 ft.