(Solved): A 25 -foot ladder leans against a tall building. The base of the ladder is x feet from the base of ...

A 25 -foot ladder leans against a tall building. The base of the ladder is $x$ feet from the base of the building and the ladder makes an angle of $?$ with the ground. A person pulls the bottom of the ladder away from the building, causing the top of the ladder to slide down the wall. Note that distance $x$ increases and angle $?$ decreases. Find the rate of change $\frac{d?}{dx}$ when $x=14$. Part 1. Write $?$ as a function of $x$ $?(x)=$