Question

the top of a ladder rest at a height of 20 feet against the side of the house if the base of the ladder is 7 feet from the house what is the length of the ladder

Answer 1

let the length of the ladder be x Using Pythagoras theorem, |hyp|^2=|opp|^2+|adj|^2

x^2=20^2+7^2

x^2= 400+49

x^2= 449

Square root of both sides:

√x^2= √449

x= 21.19ft

Thus, the length of the ladder is 21.19feet.