A rectangular in-ground pool is modeled by the prism below. The inside of the pool is 16 feet wide and 35 feet long. The pool has a shallow end and a deep end, with a
sloped floor connecting the two ends. Without water, the shallow end is 9 feet long
and 4.5 feet deep. and the deep end of the pool is 12.5 feet long.
35 ft
16 ft
4.5 ft
9 ft
16.5
12.5 ft
If the sloped floor has an angle of depression of 16.5 degrees, what is the depth of
the pool at the deep end, to the nearest tenth of a foot?