Question

A pole that is 3.2 m tall casts a shadow that is 1.69 m long. At the same time, a nearby tower casts a shadow that is 38.5 m long. How tall is the tower? Round your answer to the nearest meter

Answer 1

Step-by-step explanation:

Given:

Height of the pole = 3.2m

Shadow of the pole= 1.69m

Shadow of the tower=38.5 m

Height of the tower = ?

Based on the given information, we can create similar triangles:

To find the height of the tower, we use ratio:

`\begin{gathered} \frac{3.2\text{ m}}{1.69\text{ m}}=\frac{x}{38.5\text{ m}} \\ \text{Simplify and rearrange} \\ x=((38.5)(3.2))/(1.69) \\ \text{Calculate} \\ x=(123.2)/(1.69) \\ x=72.90=73m \end{gathered}`

Therefore, the height of the tower is 73 meters.