Question

What is the closest to the maximum height that the ladder can reach its maximum reach is 60 ft

Answer 1

we can make a triangle

It is a right triangle, to fnd h we can use trigonmetric ratios, for example sine

$\sin (\alpha)=\frac{O}{H}$

where alpha is the reference angle, O the opposite side from the angle and H the hypotenuse

using 75° as reference angle we can replace

$\sin (75)=\frac{h}{60}$

and solve for h

$\begin{gathered} h=60\sin (75) \\ h=15(\sqrt[]{6}+\sqrt[]{2})\approx58 \end{gathered}$

maximum height is 58ft