Pythagorean Theorem
Emaniee would like to build a ramp for her dog over some stairs.
How long does Emaniee’s ramp need to be
(Right triangle) 11 inches, 7 inches, 30 inches, 33 inches, 13.038 inches, 13.04 inches.
To find the length of Emaniee's ramp, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.
In this case, the ramp is the hypotenuse, and the sides of the triangle are the stairs and the vertical height. The lengths given are 11 inches and 7 inches, but we need to determine which one is the height and which one is the stairs.
Let's assume that the height is the shorter side (7 inches) and the stairs are the longer side (11 inches). Plugging these values into the Pythagorean theorem, we get:
hypotenuse^2 = height^2 + stairs^2
ramp^2 = 7^2 + 11^2
ramp^2 = 49 + 121
ramp^2 = 170
ramp = √170
ramp ≈ 13.038 inches
Therefore, Emaniee's ramp needs to be approximately 13.038 inches long to cover the stairs.