The plexiglass basketball backboard in the gym is cracked, and you need to replace it. You want to know how big a piece of plexiglass to order. The free-throw line is 15 feet from a spot directly under the backboard.
From the free throw line, you measure the angle of elevation to the bottom of the backboard to be 32.3 degrees and the angle of elevation to the top of the backboard to be 40.9 degrees. How tall is the piece of plexiglass? Round all answers to the nearest tenth.
Hint: Draw 2 triangles and subtract.