A 2ft. vertical post casts a 16in. shadow at the same time a nearby cell phone tower casts a 120ft. shadow. How tall is the cell phone tower?
To find the height of the cell phone tower, we can set up a proportion using the information given.
Let's assume that "h" represents the height of the cell phone tower.
According to the given information:
The height of the vertical post is 2ft with a shadow of 16in.
The height of the cell phone tower is "h" ft with a shadow of 120ft.
We can set up the following proportion:
2ft / 16in = h ft / 120ft
To solve for "h," we need to convert the units so they are the same. Let's convert 2ft to inches:
2ft * 12in/ft = 24in
Now we have:
24in / 16in = h ft / 120ft
Simplifying the proportion:
24/16 = h/120
1.5 = h/120
Next, we can cross-multiply:
1.5 * 120 = h
180 = h
Therefore, the cell phone tower is 180 feet tall.
Set up a proportion. Cross multiply and solve for x.
2/1.033 = x/120
1.0333x = 240
232.27 feet = x