The doorsill of a campus building is h = 5 feet above ground level. To allow wheelchair access, the steps in front of the door are to be replaced by a straight ramp with constant slope 1/12, as shown in the figure. How long must the ramp be? [The answer is not 60 feet.]

Question

Mathematics

Taylor Merritt

25 June, 16:43

The doorsill of a campus building is h = 5 feet above ground level. To allow wheelchair access, the steps in front of the door are to be replaced by a straight ramp with constant slope 1/12, as shown in the figure. How long must the ramp be? [The answer is not 60 feet.]

+2

Answers (1)

Know the Answer?

Remington Sheppard · Answer 1

60.208 feet. 60 feet is the bottom length of the ramp (touching the floor). 5 feet is the height. So the hypotenuse equals the summation of the squares (pythagoris theorem)

60^2 + 5^2 = 3625. The square root of 3625 is 60.208