Question 124101
The base of a ladder is 11 feet away from the wall. The top of the ladder is 11 feet from the floor. Find the length of the ladder to the nearest thousandth.
:
A typical right triangle problem,  c^2 = a^2 + b^2
:
The ladder is the hypotenuse(c);  a = 11, b = 11
:
{{{c^2 = 11^2 + 11^2}}}
{{{c^2 = 121 + 121}}}
{{{c^2 = 242}}}
{{{c = sqrt(242)}}}
c = 15.556 feet is the ladder
:
:
Check your solution on a good calc: Enter {{{sqrt(11^2 + 11^2)}}}