The builder has determined that it needs to be resurfaced. If resurfacing material cost $2.65 per square foot, find the cost of resurfacing the pool.

Question

The pool is 3 feet deep at the shallow end, 12 feet deep at the deep end, 85 feet long, and 30 feet wide. The angle of depression for the slope floor is 12.7 degrees

Answer 1

Hello Wood Dale, IL!  Itasca here.

 

Well, have you tried to draw the pool yet?  That'd at least give you an idea of what the bottom and sides look like.  

 

I'll do an easy wall for starters.  There's a wall along the shallow end of the pool.  The problem tells you that the pool is 3 feet deep at that end, and it's 30 feet wide.  So, that wall is 3 by 30.  Or, 90 square feet.

 

How about the wall at the deep end?

 

Most importantly, what does the bottom look like?  It tells you there's a slope, and the angle of the slope.  So, using that angle, can you figure out how big the sloped part of the floor is?

 

Once you know what the bottom of the pool looks like, then what do the sides of the pool look like, that go the full 85 feet in length?  The tops are flat...and the bottom follows the bottom of the pool.

 

More to come...but that should hopefully get you started!

 

-- Michael