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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