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

Respuesta :

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:
[tex]a^2+b^2=c^2[/tex]
[tex]c = \sqrt{a^2+b^2} [/tex]

Plug in values:
[tex]c = \sqrt{35^2+7^2}= \sqrt{1274} = 35.69[/tex]

Rounded to the nearest foot, is, 35.69ft.