Question 290446
The ladder  will form a right triangle with the house and the ground.
The ladder will be the hypotenuse
The side of the house will be the height of the house where the ladder meets it.
The base will be the distance from the ladder and the house along the ground.
So set up the Pythagorean theorem.
a^2+b^2=c^2
c=60
b=11
a^2+11^2=60^2
Solve for a
Reject the negative answer.
Use only the positive answer.