A ​6-ft vertical post casts a 16​-in shadow at the same time a nearby cell phone tower casts a 122​-ft shadow. How tall is the cell phone​ tower?

Answer 1

set up a proportion:

post height = tower height

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post shadow tower shadow

substitute given values to determine unknown value for tower height:

6 = tower height

---- ----------------

16 122

tower height = 45.75