Question

An 11 foot ladder leans against the side of a house. The bottom of the ladder is 6 feet from the side of the house. How high is the top of the ladder from the ground? If necessary round your answer to the nearest tenths

Answer 1

Using Pythagoras Theorem,
(b is the length of the ladder from the ground)
11x11=6x6+(b^2)
121-36=(b^2)
85=(b^2)
b= 9.219544457292887
b is approximately 9.2