Question

question
if you place a 35 - foot ladder against the top of a 26 - foot building, how many feet will the bottom of the
ladder be from the bottom of the building? round to the nearest tenth of a foot.

Explanation:

Step1: Use Pythagorean theorem

Let \(x\) be the distance from the bottom of the ladder to the bottom of the building. According to the Pythagorean theorem \(a^{2}+b^{2}=c^{2}\), where \(c = 35\) (length of the ladder, hypotenuse) and \(a=26\) (height of the building). So \(x^{2}+26^{2}=35^{2}\).

Step2: Solve for \(x\)

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Answer:

\(23.4\)