Question

lorenzo is building a slide for his kids. the ladder is 9 feet tall and the slide is 10 feet long. what is the distance between the ladder and the bottom of the slide? if necessary, round to the nearest tenth. feet

Explanation:

Step1: Apply Pythagorean theorem

Let the distance between the ladder and the bottom of the slide be \(x\). According to the Pythagorean theorem \(a^{2}+b^{2}=c^{2}\), where \(c = 10\) (length of the slide, hypotenuse) and \(a=9\) (height of the ladder). So \(x^{2}+9^{2}=10^{2}\).

Step2: Solve for \(x\)

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Answer:

\(4.4\)