Problem

\#9. A $4 \mathrm{~m}$ ladder leans against a building. If the bottom of the ladder is $1.3 \mathrm{~m}$ from the bottom of the building, how far up the wall will the ladder reach? Round your answer to one decimal place.

Answer

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Answer

\(\boxed{3.8}\) meters up the wall

Steps

Step 1 :Use the Pythagorean theorem: \(4^2 = 1.3^2 + x^2\)

Step 2 :Solve for x: \(x = \sqrt{4^2 - 1.3^2} = 3.8\)

Step 3 :\(\boxed{3.8}\) meters up the wall

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