Question

A pole that is 3.1 m tall casts a shadow that is 1.46 m long. At the same time, a nearby tower casts a shadow that is 38.5your answer to the nearest meter.long. How tall is the tower RoundIM

Answer 1

82 meters

Step-by-step explanation

Step 1

Draw:

as the angle of the sun´s ligth is the same for both, we have two congruent trianges, then we can make a proportion

`\text{ratio}=\frac{heigth}{\text{shadow}}`

so

`\begin{gathered} \text{ratio}_1=ratio2 \\ \text{replacing} \\ (3.1)/(1.46)=(x)/(38.5) \\ to\text{ solve, multiply both sides by 38.5} \\ (3.1)/(1.46)\cdot38.5=(x)/(38.5)\cdot38.5 \\ 81.74\text{ m=x} \\ \text{rounded} \\ x=82 \end{gathered}`

therefore, the heigth of the tower is

82 meters