Question

clare just went down the slide at the playground. she walks 1 meter to get from the end of the slide back to the ladder. then she climbs 3 meters to the top of the slide again. how long is the slide? if necessary, round to the nearest tenth. meters

Explanation:

Step1: Identify right triangle sides

The ladder (3m) and the horizontal walk (1m) are the legs of a right triangle, with the slide as the hypotenuse.

Step2: Apply Pythagorean theorem

The Pythagorean theorem is $c = \sqrt{a^2 + b^2}$, where $a=1$, $b=3$.
Expression: $\sqrt{1^2 + 3^2} = \sqrt{1 + 9} = \sqrt{10}$

Step3: Calculate and round

Compute $\sqrt{10} \approx 3.162$, round to nearest tenth.
Expression: $\approx 3.2$

Answer:

3.2 meters