Question

a painter has a 24-foot ladder that he is using to paint a house. for safety reasons, the ladder must be placed at least 8 feet from the base of the side of the house. to the nearest tenth of a foot, how high can the ladder safely reach

Answer 1

c=24
b=8
a=?
a2=c2-b2
a2=(24)2-(8)2
a2=576-64
a2=512
take LCM
a=22.627.....