Question

samuel is building a slide for his kids. if the ladder is 7 feet tall and he wants the bottom of the slide to be 6.7 feet from the ladder, how long does the slide need to be? if necessary, round to the nearest tenth. feet submit

Explanation:

Step1: Apply the Pythagorean theorem

The Pythagorean theorem is \(a^{2}+b^{2}=c^{2}\), where \(a = 7\) (height of the ladder), \(b=6.7\) (distance from the bottom of the slide to the ladder), and \(c\) is the length of the slide.
Substitute the values: \(c^{2}=7^{2}+6.7^{2}\)

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Step2: Solve for \(c\)

Take the square root of both sides: \(c=\sqrt{93.89}\)
\(c\approx9.7\)

Answer:

\(9.7\)