Tiana is on a 25-foot ladder that is leaning against her house. Its base is 7 feet from the base of the house. The ladder slips so that the base of the ladder is 8 feet farther from the house. How far did the top of the ladder move down the wall?

Question

Jamir Marsh

Mathematics

15 May, 04:04

Tiana is on a 25-foot ladder that is leaning against her house. Its base is 7 feet from the base of the house. The ladder slips so that the base of the ladder is 8 feet farther from the house. How far did the top of the ladder move down the wall?

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Answers (1)

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Anastasia Ayers · Answer 1

4 ft downwards

Step-by-step explanation:

old height off the ground:

7^2+b^2=25^2

49+b^2=625

b^2=576

b=24

new height off the ground:

7+8=15

15^2 + b^2 = 25^2

225+b^2 = 625

b^2 = 400

b=20

difference between heights:

24 - 20 = 4