ANSWER
17.3 ft (rounded to the nearest tenth)
EXPLANATION
Given:
Desired Outcome:
The height the top of the ladder will reach.
Apply the Pythagorean Theorem
[tex]\begin{gathered} Hyp^2=Opp^2+Adj^2 \\ AC^2=AB^2+BC^2 \\ 18^2=x^2+5^2 \\ 324-25=x^2 \\ x^2=299 \\ x=\sqrt{299} \\ x=17.29ft \end{gathered}[/tex]
Hence, the top of the ladder will reach 17.3 ft (rounded to the nearest tenth) up along the side of the house.
