check the picture below.
is the ladder safe? well, θ has to be between 70° and 80°, so is good.
what's the length of the ladder?
[tex]\bf \textit{using the pythagorean theorem}
\\\\
c^2=a^2+b^2\implies c=\sqrt{a^2+b^2}
\qquad
\begin{cases}
c=\stackrel{\textit{ladder's length}}{hypotenuse}\\
a=adjacent\\
b=opposite\\
\end{cases}
\\\\\\
c=\sqrt{1.5^2+5.8^2}\implies c=\sqrt{35.89}\implies c\approx 5.99082632030006358[/tex]
