To solve this question we will use the following diagram:0
Let x ft be the length the ladder needs to be to make it to the top of the wall.
Using the Pythagorean Theorem we get:
[tex](\text{xft)}^2=(10ft)^2+(30ft)^2\text{.}[/tex]
Simplifying the above equation we get:
[tex]\begin{gathered} x^2ft^2=100ft^2+900ft^2 \\ x^2ft^2=1000ft^2\text{.} \end{gathered}[/tex]
Therefore:
[tex]\begin{gathered} x^2=1000, \\ x=\sqrt[]{1000}, \\ x=10\sqrt[]{10}. \end{gathered}[/tex]
Therefore, the length of the ladder must be:
[tex]10\sqrt[]{10}ft.[/tex]
Answer:
[tex]10\sqrt[]{10}ft.[/tex]
