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

Let h = height of the landing and

let r = the length of the ramp

then the length from the ground where the ramp touches it, to the ground directly below the landing is

sqr(r^2-h^2)

the slope of the ramp is m = h/sqr(r^2-h^2)

If you know h and r, plug those values into the above to calculate m= slope.

For example, if the ramp is 5 meters long and the landing height is 3 meters high, the slope of the ramp is 3/4

m = 3/sqr(25-9) = 3/sqr16 = 3/4 = slope of the ramp