Question

If you place a 89-foot ladder against the top of a 80-foot building, how many feet will

Answer 1

Answer:

$\large \boxed{\text{39 ft}}$

Step-by-step explanation:

Let x be the distance from the foot of the ladder to the base of the building.

We have a right triangle, so we can use Pythagoras' Theorem.

$\begin{array}{rcl}80^{2} + x^{2}& = & 89^{2} \\6400+ x^{2} & = & 7921\\x^{2} & = & 1521\\x & = & \sqrt{1521}\\& = &\mathbf{39}\\\end{array}\\\text{The foot of the ladder will be \large \boxed{\textbf{39 ft}} from the base of the building,}$