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The vertical height (x) represents the point where the slant height (ladder) rest against the wall of the house to the ground level.
The triangle above is a right-angled triangle, we use the pythagorean theorem.
Formula for the Pythagorean theorem is,
[tex]\begin{gathered} (\text{Hypotenuse)}^2=(\text{Opposite)}^2+(\text{Adjacent)}^2 \\ \text{Where Opposite = xft, Hypotenuse = 25ft and Adjacent = 6ft} \end{gathered}[/tex]Substituting the variables into the formula above,
[tex]\begin{gathered} 25^2=x^2+6^2 \\ 625=x^2+36 \\ \text{Collect like terms} \\ x^2=625-36 \\ x^2=589 \\ \sqrt[]{x^2}=\sqrt[]{589} \\ x=24.2693ft\approx24.3ft\text{ (one decimal place)} \end{gathered}[/tex]Hence, the ladder is 24.3ft off the ground against the vertical wall.
B is the answer.
