Question

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

4. Use the definition of slope to calculate the exact rise of the bridge, y (3 points: 2 points for
work, 1 point for the solution)

5. How long is the deck of the bridge? Show how you calculated r. (3 points: 2 points for work, 1
point for the solution)

Answer 1

The change in y-axis with respect to change in x-axis is described as slope.

the slope is 0.06, rewrite it as a fraction

the base of the bridge is 50 and height of the bridge is 3, 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}}

Length of the bridge is 50.08