The correct answer is -78.15 m.
Hope this helped! :)
        
             
        
        
        
1) Vertical angles theorem 
- Angles EOF and BOC are vertical angles.
2) Angle addition postulate
- Angles AOB and BOC add to form angle AOC.
3) Linear pair
- Angles that add to form a straight angl are a linear pair
4) Subtraction property of equality
- They subtracted angle AOC from both sides.
 
        
             
        
        
        
62 - 4 = 58  
58 / 2 = 29
The width is 29.
        
             
        
        
        
From here, it looks like all three sides of the right triangle are missing. I don't see any of them in the question.