SOLUTION: A 2​-ft vertical post casts a 16​-in shadow at the same time a nearby cell phone tower casts a 116​-ft shadow. How tall is the cell phone​ tower?

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Question 1150242: A 2​-ft vertical post casts a 16​-in shadow at the same time a nearby cell phone tower casts a 116​-ft shadow. How tall is the cell phone​ tower?
Found 2 solutions by ankor@dixie-net.com, Alan3354:
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A 2​-ft vertical post casts a 16​-in shadow at the same time a nearby cell phone tower casts a 116​-ft shadow.
How tall is the cell phone​ tower?
:
the ratio of the tower to it's [sic] shadow = ratio of post to it's [sic] shadow
it's = it is
:
let x = height of the cell hone tower
change 2 ft to 24 inches
x%2F116 = 24%2F16
cross multiply
16x = 116 * 24
16x = 2784
x = 2784/16
x = 174 ft is the height of the tower
:

Answer by Alan3354(69443) About Me  (Show Source):