Answer:
102.40 ft
Step-by-step explanation:
This system can be described as a right triangle with the horizontal distance from the silo (80 ft) being the side adjacent to the 52-degree angle, and the height of the silo (h) being the side opposite to the angle. Therefore, the height can be found by:
[tex]tan(52) = \frac{h}{80}\\ h=102.40\ ft[/tex]
The silo is 102.40 feet tall.