SOLUTION: 74. Road Grade When dirving down a mountain road, you notice warning signs indicating that it is a "12% grade." This means that the slope of the road is -12/100. Approximate the a

Algebra.Com
Question 268506: 74. Road Grade
When dirving down a mountain road, you notice warning signs indicating that it is a "12% grade." This means that the slope of the road is -12/100. Approximate the amount of horizontal change in your position if you note from elevation markers that you have descended 2000 feet vertically.
I stuck I don't get it can you help. Thanks

Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
One way to explain it is:
If you are driving down a 12% grade, You will aways be 12%
below where you would have been if you could have
driven on flat ground from where you started.
Say you descend 2 ft. You are 12% below what?


ft from start
That's how far you would have driven on flat ground
Say you descend 20 ft. You are 12% below what?


ft from start
That's how far you would have driven on flat ground
Say you decend 2000 ft. You are 12% below what?


ft from start
Also how far you would have driven on flat ground
---------------------------------------------------
Suppose you are on a 1% grade and you descend 2000 ft.
If you had been on flat ground from the start, you
would have driven:

ft from start
The same thing works for hills, too
If I'm on a 1% grade going uphill, and I gained 2000 ft
vertically, where would I be if I had driven on flat ground?

ft from start -the same answer, but now I'm
looking down at where I started, instead of looking up.
Hope this helps.Drawing pictures is a good idea, too

RELATED QUESTIONS

when driving down a mountain road, you notice warning signs indicating that it is a "12%... (answered by ankor@dixie-net.com)
When you are traveling in the mountains, you will often see signs about the grade of the... (answered by stanbon)
West of Albuquerque, New Mexico, Route 40 eastbound is straight and makes a steep descent (answered by Boreal,Alan3354,greenestamps,josgarithmetic)
``West of Albuquerque, New Mexico, Route 40 eastbound is straight and makes a steep... (answered by Alan3354)
The highway has a 6% grade on descent, which means it's slope is - 6/100. Driving on this (answered by stanbon)
A certain highway is straight and makes a steep descent toward the city. The highway has... (answered by Alan3354,solver91311,josmiceli)
Hilly areas often have road signs giving the percentage grade for the road. A 5% grade,... (answered by robertb)
Hilly areas often have road signs giving the percentage grade for the road. A 5% grade,... (answered by Alan3354)
Hilly areas often have road signs giving the percentage grade for the road. A 5% grade,... (answered by nerdybill)