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?