A 10-foot ladder leans against a wall. It hits the wall 9 feet up. How far is the base of the ladder from the wall? Apply the Py

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A 10-foot ladder leans against a wall. It hits the wall 9 feet up. How far is the base of the ladder from the wall? Apply the Py

thagorean Theorem to this problem

Mathematics

1 answer:

ElenaW [278] · Answer 1 · 2021-12-10T20:31:59+03:00

A 10-foot ladder leans against a wall. It hits the wall 9 feet up. How far is the base of the ladder from the wall? Apply the Pythagorean Theorem to this problem

triangle

side S1 = 9 feet

hypotenuse H = 10 feet

side S2 - X = ?

the Pythagorean Theorem

H x H = S1 x S1 + S2 x S2 = S1 x S1 + X x X

X x X = H x H - S1 x S1 = 10 x 10 - 9 x 9 = 100 - 91 = 9

X x X = 9

X = 3

How far is the base of the ladder from the wall? 3 feet

check:

H x H = S1 x S1 + X x X

10 x 10 = 9 x 9 + 3 x 3

100 = 91 +9 = 100