Given :
Length of ramp( Hypotenuse ), l = 10 ft .
Length of base, b = 5 ft .
To Find :
How high were the porch steps.
Solution :
Let, height is h.
By Pythagoras theorem :
[tex]b^2+h^2=l^2\\\\h=\sqrt{l^2-b^2}\\\\h=\sqrt{10^2-5^2}\\\\h = \sqrt{75}\\\\h = 5\sqrt{3}\ ft[/tex]
Hence, this is the required solution.