Question

Confused as to what I need to do. Help?

Answer 1

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?


`\bf \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c=√(a^2+b^2) \qquad \begin{cases} c=\stackrel{\textit{ladder's length}}{hypotenuse}\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ c=√(1.5^2+5.8^2)\implies c=√(35.89)\implies c\approx 5.99082632030006358`