Question

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The entrance to an accessibility ramp is at ground level.

The first section of the ramp covers a horizontal distance of 18 feet and rises to a landing 1.5 feet above the ground.

The second section of the ramp begins at the landing. It rises at a slope of \frac{1}{18}
and covers another 9 feet of horizontal distance to reach the door.


NOTE: Sketch not drawn to scale.

Answer the questions to compare the sections of the ramp.

1. What is the slope of the ramp from the ground to the landing? Write your answer as a fraction with a whole-number numerator and denominator.

Answer 1

Explanation:

slope = "rise over run" = 1.5/18 = 3/36 = 1/12 for the 1st section to the landing

slope is the change in height, the vertical change, divided by the change in horizontal distance

2nd section has slope 1/18 and covers 9 feet. That means it rises 1/2 foot

slope = 1/18 = (1/2)/9

the door is 2 feet higher than the ground level, 1.5 + .5 = 2 feet change vertically