Maximum slope of your bridge for automobile safety, the maximum slope that a highway can have is 6%, or 0.06. a surveyor measures the angle from one edge of the ravine to the other and determines that your bridge should have a slope of 0.06. you need to find the length of your bridge if it has a slope of 0.06. this will tell you how much pavement is needed for the bridge deck. use the definition of slope to calculate the exact rise of the bridge, y .

General Idea:

The slope is given by rise over run. The change in y-axis with respect to change in x-axis is described as slope.

Applying the concept:

Given that the slope is 0.06, we should try to rewrite it as a fraction

So if we form a right triangle as shown in the figure, then slope provides us the information that the base of the bridge is 50 and height of the bridge is 3, Now we need to find the hypotenuse using the Pythagorean theorem to get the length of the bridge.

[tex] Length =\sqrt{3^{2}+50^{2}} =\sqrt{9+2500}} =\sqrt{2509}}

Conclusion:

Length of the bridge is 50.08 approximately

no pictures of the graph