Question

mabel just went down the slide at the playground. she walks 5 feet to get from the end of the slide back to the ladder. then she climbs 6 feet to the top of the slide again. how long is the slide? if necessary, round to the nearest tenth. feet

Explanation:

Step1: Apply Pythagorean theorem

Let the length of the slide be $c$, the distance from the end of the slide to the ladder be $a = 5$ feet and the height from the ground to the top of the slide be $b=6$ feet. According to the Pythagorean theorem $c=\sqrt{a^{2}+b^{2}}$.

Step2: Calculate the value of $c$

Substitute $a = 5$ and $b = 6$ into the formula: $c=\sqrt{5^{2}+6^{2}}=\sqrt{25 + 36}=\sqrt{61}\approx 7.8$ feet.

Answer:

$7.8$