Answer:
The height of the flagpole is 36.363 feet.
Step-by-step explanation:
This problem can be represented geometrically by two similar right triangles, represented in the image attached below. By definition of similarity, we construct the following relationship:
[tex]\frac{4\,ft}{5.5\,ft} = \frac{x}{50\,ft}[/tex] (1)
Where [tex]x[/tex] is the height of the flagpole, measured in feet.
Lastly, we find the required value:
[tex]x = \left(\frac{4\,ft}{5.5\,ft} \right)\cdot (50\,ft)[/tex]
[tex]x = 36.363\,ft[/tex]
The height of the flagpole is 36.363 feet.
