Answer
The length of the loading ramp is $\approx 8.1$ ft.
Work Step by Step
Let $H =$ hypotenuse of the triangle / length of loading ramp
$a^{2} + b^{2} = c^{2}$
$4^{2} + 7^{2} = H^{2}$
$16 + 49 = H^{2}$
$65 = H^{2}$
$H = \sqrt 62$
$H = 8.062...$
$H \approx 8.1$ ft