Which hill described in the table is the steepest and why?
Street Horizontal Distance (ft) Vertical Rise of Street (ft)
Dixie Hill 100 60
Bell Hill 100 50
Liberty Hill 100 20
Dixie Hill; it rises three-fifths foot for every 1 foot of horizontal travel.
Yes, you are right.
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To determine which hill is the steepest, we need to calculate the slope or grade of each hill. The slope is calculated by dividing the vertical rise of the hill by the horizontal distance.
Let's find the slopes of each hill:
1. Dixie Hill: slope = vertical rise / horizontal distance = 60 ft / 100 ft = 0.6
2. Bell Hill: slope = vertical rise / horizontal distance = 50 ft / 100 ft = 0.5
3. Liberty Hill: slope = vertical rise / horizontal distance = 20 ft / 100 ft = 0.2
Now that we have the slopes, we can compare them to find the steepest hill. The hill with the highest slope is the steepest because it has the largest ratio of vertical rise to horizontal distance.
In this case, Dixie Hill has the steepest slope with a ratio of 0.6, making it the steepest hill described in the table.