Question

A 12ft- ladder leans against the side of a house. The bottom of the ladder is 7ft 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 tenth.

Answer 1

Ladder forms a right triangle with base 7 and hypotenuse 12, so

7²+h²=12². where h is the height
49+h²=144
h²=91
h=√91 or about 9.5

ladder touched the building about 9.5 ft up