SOLUTION: when driving 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 horizon
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Question 1110592: when driving 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 descended 2000 feet vertically. (Write equation and grap)
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driving 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 descended 2000 feet vertically. (Write equation and grap)
:
using the slope intercept form of equation: y = mx + b
slope (m) = -12/100 or -.12; y intercept (b) will be 2000 ft
x is the horizontal position, y is the elevation
y = -.12x + 2000
graphically
When you have descended 2000 ft, the x intercept will be the horizontal dist in feet
We can solve for x when y = 0;
-.12x + 2000 = 0
-.12x = -2000
x = -2000/-.12
x = 16,667 ft or 3.157 mi
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