Question

Tony's favorite water slide is 18 meters long. The distance from the base of the slide to the bottom of the ladder is 10 meters long (see the image below). Applying thePythagorean Theorem, the equation representing this situation is h^2 + 10^2 = 18^2Solve for h

Answer 1

Explanation:

This problem is part of a graded assignment for a cyber school in Pennsylvania. Please remove it and the solution. Signed, the Teacher.

Answer 2

Given:

Applying the Pythagorean theorem to the right triangle,

`\begin{gathered} \text{hypotenuse}^2=\text{opposite}^2+\text{adjacent}^2 \\ \text{where;} \\ \text{hypotenuse}=18m \\ \text{adjacent}=10m \\ \text{opposite}=h \\ \\ \text{Hence,} \\ 18^2=h^2+10^2 \\ h^2+10^2=18^2 \end{gathered}`

Thus,

`h^2+10^2=18^2`
`\begin{gathered} h^2+10^2=18^2 \\ h^2+100=324 \\ h^2=324-100 \\ h^2=224 \\ h=\sqrt[]{224} \\ h=14.97m \end{gathered}`

Therefore, the value of the height of the ladder, h = 14.97m