SOLUTION: A certain highway has a 2% grade. How many feet does it rise in a horizontal distance of 1 mile? (1 mile = 5280feet.)
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Question 1009161: A certain highway has a 2% grade. How many feet does it rise in a horizontal distance of 1 mile? (1 mile = 5280feet.)
Answer by farohw(175) (Show Source): You can put this solution on YOUR website!
Convert 2% to 2/100 then set up your equation:
Before solving for y, you may choose to reduce accordingly:
By cross multiplication,
Divide both sides by 50 to obtain a value for y,
--> or 105.6.
The highway rises 105.6 ft in a horizontal distance of one mile.
Verify:
where y = 105.6
which is also 2% is true.
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