Question

a ladder leans against a wall and reaches a point 35 feet up the wall.The base of the ladder is 7 feet from the wall.To the nearest tenth of a foot, what is the length of the ladder

Answer 1

In this scenario, imagine a right-angle triangle. You are given the two legs and you are supposed to figure out the hypotenuse. So, let's use the Pythagorean's Theorem to do just that:

`a^2+b^2=c^2`

`c = √(a^2+b^2)`

Plug in values:

`c = √(35^2+7^2)= √(1274) = 35.69`

Rounded to the nearest foot, is, 35.69ft.