Question

Can you please help me

Answer 1

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,

`\begin{gathered} (\text{Hypotenuse)}^2=(\text{Opposite)}^2+(\text{Adjacent)}^2 \\ \text{Where Opposite = xft, Hypotenuse = 25ft and Adjacent = 6ft} \end{gathered}`

Substituting the variables into the formula above,

`\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}`

Hence, the ladder is 24.3ft off the ground against the vertical wall.

B is the answer.