A right triangular shaped bookcase is shown with a height of 48 inches and there are four parallel shelves. The slant heights of the four shelves starting from the top are x units, 2 times x units, 3 times x units and 2 times x units.
Matt has a triangular bookcase that fits under his staircase. The total height of the bookcase is 48 inches, and there are four
parallel shelves as shown above. What is the maximum height, in inches, of a book that can stand upright on the bottom shelf?