The doorsill of a campus building is h = 7 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 1/10, as shown in the figure. how long must the ramp be?

The ramp must be 70.35 ft.

Step-by-step explanation:

A rectangle triangle is formed. The ramp is the hypotenuse and h = 7 ft is the side opposite to the slope = 1/10. This slope means: for each vertical step there are 10 horizontal steps (is the same definition of line's slope). Writing that in a equation gives :

slope = 1/10 = (opposite side)/(adjacent side)

adjacent side = 10*(opposite side)

adjacent side = 10*7 ft

adjacent side = 70 ft

Pythagorean theorem states

hypotenuse^2 = side^2 + side^2

hypotenuse^2 = 7^2 + 70^2

hypotenuse = sqrt(4949)

hypotenuse = 70.35 ft

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