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A 25ft ladder is placed 7 feet from the wall, as shown. How high up the wall with the ladder reach?

User Ghayas
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2 Answers

2 votes

Answer:

24 just did it in algebra nation

User Healing
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4 votes

Answer:

24 ft up the wall

Explanation:

We can use the Pythagorean theorem to solve, letting the 25 ft ladder be the hypotenuse

a^2 +b^2 = c^2

7^2 +b^2 = 25^2

49 + b^2 = 625

Subtract 49 from each side

49-49 +b^2 = 625-49

b^2 = 576

Take the square root of each side

sqrt(b^2) = sqrt(576)

b = 24

We only take the positive solution since length cannot be negative

The ladder will reach 24 ft up the wall

User Aghyad Algllad
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