Question

A 4-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 ? The cell phone tower's height is _ ft(simplify your answer .)

Answer 1

In this problem, we will use ratio and proportion

The height of the tower is 366 ft

$\begin{gathered} \frac{4}{\frac{16}{12}}=\text{ }\frac{x}{122} \\ x\text{ = }\frac{4\ast122}{\frac{16}{12}}=\text{ 366} \end{gathered}$