Question

cecil is designing a slide for a public park. the end of the slide is 10 feet away from the ladder, which is 15 feet tall. how long is the slide? round your answer to two decimal places. draw 15 ft 10 ft show your work here hint to add the square root symbol (√□), type root

Explanation:

Step1: Apply Pythagorean theorem

The Pythagorean theorem is \(a^{2}+b^{2}=c^{2}\), where \(a = 10\), \(b=15\), and \(c\) is the length of the slide.
Substitute the values: \(10^{2}+15^{2}=c^{2}\)
\(100 + 225=c^{2}\)
\(c^{2}=325\)

Step2: Solve for \(c\)

Take the square root of both sides: \(c=\sqrt{325}\)
Calculate \(\sqrt{325}\approx18.03\)

Answer:

\(18.03\) feet