Question

kaylee is playing on the slide. over and over, she climbs the 3 - foot ladder, goes down the slide, and walks 6 feet to get back to the ladder. how far does kaylee travel each time she repeats this process? if necessary, round to the nearest tenth. feet submit

Explanation:

Step1: Use Pythagorean theorem for the slide distance

The ladder height \(a = 3\) feet and the horizontal distance \(b=6\) feet. The slide distance \(c\) is calculated by \(c=\sqrt{a^{2}+b^{2}}\).
So \(c=\sqrt{3^{2}+6^{2}}=\sqrt{9 + 36}=\sqrt{45}=3\sqrt{5}\approx 6.7\) feet.

Step2: Calculate total distance

Total distance \(d\) is the sum of ladder height, slide distance and walking distance.
\(d=3 + 6.7+6\)
\(d = 15.7\) feet.

Answer:

\(15.7\)