The given triangle is shown:
To find the value of x,
Apply trigonometry ratios
For the given triangle
[tex]\tan 37=\frac{x}{10}[/tex]
Solve for x:
[tex]\begin{gathered} x=\tan 37\times10 \\ x\approx0.75\times10 \\ x\approx7.5 \end{gathered}[/tex]
Therefore the value of x to the nearest tenth is 7.5
