Question

A ramp for wheelchair access to the gym has a slope of 5% (that is, the ramp rises 5 feet vertically for every 100 feet of horizontal distance). The entire ramp is built on level ground, and the entrance to the gym is 2 feet above the ground. What is the horizontal distance, in feet, between the ends of the ramp? a 4 b 10 c 40 d 100 e 400

Answer 1

Answer:

C 40

Step-by-step explanation:

Answer 2

Using proportions, it is found that the horizontal distance, in feet, between the ends of the ramp is:

c 40

• This question is solved by proportions, using a rule of three.

• The slope of 5% means that when the vertical distance rises by 5 feet, the horizontal distance changes by 100 feet.
• What is the horizontal distance for a vertical distance of 2 feet?

The rule of three is:

5 feet V - 100 feet H

2 feet V - x feet H

Applying cross multiplication:

$5x = 200$

$x = \frac{200}{5}$

$x = 40$

Hence, 40 feet, option c.

A similar problem is given at https://brainly.com/question/24372153