To solve this problem we will start by defining the length of the shortest stick as 'x'. And the magnitude of the longest stick, according to the statement as
[tex]x+2.93[/tex]
Both cover a magnitude of 8.32 ft, therefore
[tex]x +(x+2.97) = 8.32[/tex]
Now solving for x we have,
[tex]x + (x + 2.93) = 8.32[/tex]
[tex]2x + 2.93 = 8.32[/tex]
[tex]2x = 8.32 - 2.93[/tex]
[tex]x = \frac{ 8.32 - 2.93}{2}[/tex]
[tex]x = 2.695 ft[/tex]
Therefore the shorter stick is 2.695ft long.
