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Precalculus Mathematics Homework Help
What Does Change in Gradient Mean for Road Design?
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[QUOTE="tomtomtom1, post: 4537823, member: 345607"] Hi all I was hoping someone could help solve a gradient problem, I am more concerned about understanding what the question is asking me. [h2]Homework Statement [/h2] I have two straight lines which represents the vertical profile of a road. Line AB has a gradient of 1 in 169 (for every 1 unit in the Y axis, you move 169 units in the X axis) Line BC has a gradient of 1 in 410 (for every 1 unit in the Y axis, you move 410 units in the X axis) The question is, if the Change In Gradient between the two lines exceeds 1 in 500 then the road must be re-designed. A. Do the gradients of lines AB & BC exceed 1 in 500 – YES / NO. B. What is the change in gradient between Lines AB & BC. There are two parts of the question I am struggling to understand. • The first bit is understanding the change in statement. • The second bit is if the change in gradient is 1 in 600 for example then I would say that this is a shallower gradient and has not exceeded the 1 in 500 gradient threshold. If the change in gradient was 1 in 150 for example then this is a steeper gradient and has exceeded the 1 in 500 gradient threshold. [h2]Homework Equations[/h2] NA [h2]The Attempt at a Solution[/h2] From the statement “Change in” I would subtract the gradients of the two lines. So my first step would be:- 1/169 – 1/410 = 410/69290 – 169/69290 (I found a common denominator) 410/69290 – 169/69290 = 241/69290 (subtracted 410 – 169) 241/69290 = 1/ 287.5104 (rounded to 1 in 289) Answer To Part A = YES the gradients has exceeded 1 in 500 Answer To Part B = The change in gradient is 1 in 289. Is my thinking correct or have I got it wrong. Any help will be greatly appreciated. I have attached a sketch of the problem. Thanks [/QUOTE]
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What Does Change in Gradient Mean for Road Design?
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