Given the following figure:
From the right-angle triangle with an angle of 70
[tex]\begin{gathered} tan70=\frac{119}{h} \\ \\ h=\frac{119}{tan70}\rightarrow(1) \end{gathered}[/tex]
And from the right-angle triangle with an angle of 26
[tex]\begin{gathered} tan26=\frac{119}{x+h} \\ \\ x+h=\frac{119}{tan26}\rightarrow(2) \end{gathered}[/tex]
substitute (h) from equation (1) into equation (2)
[tex]\begin{gathered} x+\frac{119}{tan70}=\frac{119}{tan26} \\ \\ x=\frac{119}{tan26}-\frac{119}{tan70}=200.6737 \end{gathered}[/tex]
Rounding to the nearest hundredth
So, the answer will be x = 200.67
