Answer: [tex]\dfrac{4}{5}[/tex]
Step-by-step explanation:
To find the slope of the conveyor, we can use the concept of rise over run, which is the vertical change divided by the horizontal change.
Given that the conveyor reaches a height of 20 feet and is 25 feet from the base of the grain bin, we can consider the vertical change (rise) as the height of the conveyor and the horizontal change (run) as the distance from the base of the grain bin to the conveyor.
So, the slope (m) is:
m = (vertical change)/(horizontal change)
m = (height of conveyor)/(distance from base of grain bin to conveyor)
m = (20 ft)/(25 ft)
m = [tex]\dfrac{4}{5}[/tex]
The slope of the conveyor is [tex]\dfrac{4}{5}[/tex].
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