Question

zoe is playing on the slide. over and over, she climbs the 3-meter ladder, goes down the slide, and walks 3 meters to get back to the ladder. how far does zoe travel each time she repeats this process? if necessary, round to the nearest tenth. _______ meters

Explanation:

Step1: Identify slide length

The ladder (vertical side) is 3m, the walk back is the horizontal side (3m). The slide is the hypotenuse of a right triangle. Use Pythagorean theorem:
$$c = \sqrt{a^2 + b^2}$$
$$c = \sqrt{3^2 + 3^2} = \sqrt{18} \approx 4.2 \text{ meters}$$

Step2: Sum all distances

Add ladder, slide, and walk-back distances:
$$3 + 4.2 + 3$$

Answer:

10.2 meters