Question 181552: A certain highway is straight and makes a steep descent toward the city. The highway has a 6% grade, which means that its slope is -6/100. Driving on the road, you notice from elevation signs that you have descended a distance of d = 500 ft. What is the change in your horizontal distance? (Round your answer to the nearest whole number.)
i dont understand how to set this up and solve it!
Found 3 solutions by Alan3354, solver91311, josmiceli:
Answer by Alan3354(69443)   (Show Source):
You can put this solution on YOUR website! A certain highway is straight and makes a steep descent toward the city. The highway has a 6% grade, which means that its slope is -6/100. Driving on the road, you notice from elevation signs that you have descended a distance of d = 500 ft. What is the change in your horizontal distance? (Round your answer to the nearest whole number.)
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For each 100' you drive, you descend 6 feet, or each 6 feet of descent takes 100 feet of driving.
Each foot of descent is 100/6 feet of driving.
500 feet of descent would take 500*(100/6) feet of driving.
= 50000/6
= 8,333 feet
Answer by solver91311(24713)  (Show Source):
You can put this solution on YOUR website!
For every 100 feet of horizontal distance travelled in a downhill direction, your elevation changes by -6 feet, so for x feet of horizontal distance travelled, your height changes by 500 feet.
Solve the proportion.
John
Answer by josmiceli(19441)  (Show Source):
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