Answer:
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:
[tex]\begin{gathered} \frac{3.2\text{ m}}{1.69\text{ m}}=\frac{x}{38.5\text{ m}} \\ \text{Simplify and rearrange} \\ x=\frac{(38.5)(3.2)}{1.69} \\ \text{Calculate} \\ x=\frac{123.2}{1.69} \\ x=72.90=73m \end{gathered}[/tex]
Therefore, the height of the tower is 73 meters.
