D. 10.83 math question don't guess show work

Ok so first we need to work out the vertical line in the middle (ab) using Pythagoras
Square root(7.5^2+4.9^2) to get 8.958794562

Now we know the length of the line ab so we can work out x using trigonometry
Since line ab is opposite the angle and x is adjacent (or not the hypotenuse the slope) the tan rule is used which is tan(0)=o/a
So tan(55.8)=8.9587../a
*a. *a
/tan(55.8). /tan(55.8)
a=8.9587../tan(55.8)
a=6.088390497
a=6.09
x=6.09

Idon’t know what the answer is i wish i could

Oh i'm sorry. didn't see the options