(Solved): help on both please A fence 25 feet tall runs parallel to a tall building at a distance of 5ft from ...

A fence 25 feet tall runs parallel to a tall building at a distance of $5\mathrm{ft}$ from the building as shown in the diagram. We wish to find the length of the shortest ladder that will reach from the ground over the fence to the wall of the building. [A] First, find a formula for the length of the ladder in terms of $?$. (Hint: split the ladder into 2 parts.) Type theta for $?$. $L(?)$ [B] Now, find the derivative, $L^{?}(?)$. Type theta for $?$. $L^{?}(?)=$ [C] Once you find the value of $?$ that makes $L^{?}(?)=0$, substitute that into your original function to find the length of the shortest ladder. (Give your answer accurate to 5 decimal places.) $L\left({?}_{\min }\right)?$ feet A Norman window has the shape of a semicircle atop a rectangle so that the diameter of the semicircle is equal to the width of the rectangle. What is the area of the largest possible Norman window with a perimeter of 32 feet? ${\mathrm{ft}}^2$