Final answer:
The length of the ramp can be found using the concept of slope. The slope of the ramp is calculated by dividing the rise by the run. Using the Pythagorean theorem, the length of the ramp can be calculated as approximately 9.848 meters.
Step-by-step explanation:
The length of the ramp can be found using the concept of slope. The slope of a ramp is calculated by dividing the rise (the vertical distance) by the run (the horizontal distance). In this case, the ramp rises 4 meters and the horizontal distance is 9 meters. Therefore, the slope of the ramp is 4/9. To find the length of the ramp, we need to calculate the hypotenuse of a right triangle with the rise and run as the other two sides. Using the Pythagorean theorem, we can solve for the length:
Length of ramp = Square root of (rise^2 + run^2)
Length of ramp = Square root of (4^2 + 9^2)
Length of ramp = Square root of (16 + 81)
Length of ramp = Square root of (97)
Length of ramp ≈ 9.848 meters