Answer :
The cell phone tower is 1260 feet tall
Solution:
Given that 10-ft vertical post casts a 12-in shadow
At the same time a nearby cell phone tower casts a 126-ft shadow
To find: height of cellphone tower
We can use proportion to solve the sum
[tex]\frac{\text {height of post }}{\text {shadow of post}}=\frac{\text {height of tower}}{\text {shadow of tower}}[/tex]
Here,
Let "x" be the height of tower
height of post = 10 feet
shadow of tower = 126 feet
shadow of post = 12 inches
We know that,
1 inches = 0.0833333 foot
12 inches = 12 x 0.0833333 foot = 1 foot
shadow of post = 1 foot
Thus the proportion becomes,
[tex]\frac{10}{1} = \frac{x}{126}[/tex]
[tex]10 \times 126 = x \times 1\\\\x = 10 \times 126 = 1260[/tex]
Thus the cell phone tower is 1260 feet tall