Step 1
Draw the diagrammatic representation of the question.
Step 2
Find the value of x the height of the wall up to the ladder using a trigonometric ratio.
[tex]\begin{gathered} \text{Soh} \\ \text{written as} \\ \sin 65=\frac{opposite(o)}{\text{Hypothenuse(h)}} \end{gathered}[/tex]Where
opposite = x
Hypothenuse = 30ft
[tex]\begin{gathered} \sin 65=\frac{x}{30} \\ x\text{ =27.18923361ft} \\ x\approx27.19ft\text{ to the nearest hundredths} \end{gathered}[/tex]
