# Calculus Homework Due 5-14-15

1. A rectangle has a vertex on the $x$-axis between 0 and 9, a vertex at the point (9,0), a vertex on the line $x=9$, and a vertex on the curve $y=\sqrt{x}$. Find the dimensions of the rectangle having the maximum possible area.

2. To get the best view of the Statue of Liberty you should be at the position where $\theta$ is a maximum. If the statue stands 92 meters high, including the pedestal, which is 46 meters high, how far from the base should you be?