Mitchel climbs 8 feet up the vertical ladder of a slide and zips down the 17-foot slide. How far is the bottom of the ladder from the bottom of the slide

Respuesta :

Answer:

the bottom of the ladder from the bottom of the slide is 15 feet far from

the bottom of the slide

Step-by-step explanation:

Given that Mitchel climbs 8 feet up the vertical ladder of a slide and zips down the 17-foot slide.

The slide the vertical ladder and the floor together form a right triangle if we can vizualise.

The hypotenuse would be the slide , and one leg is ladder and other the  bottom of the ladder from the bottom of the slide

We have hypotenuse = 17 feet and one leg = 8 feet

So use Pythagorean theorem to find other leg

Other leg = [tex]\sqrt{17^2-8^2} \\=\sqrt{(17+8)(17-8)} \\= 15[/tex]

the bottom of the ladder from the bottom of the slide is 15 feet far from

the bottom of the slide

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