Answer:
[tex]x\approx4.5[/tex]
Step-by-step explanation:
In relation to ∠U, we are given the triangle's opposite side and adjacent side. Therefore, we should use the tangent function to determine the opposite side:
[tex]tan(\theta)=\frac{opposite}{adjacent}[/tex]
[tex]tan(34^\circ)=\frac{x}{6.7}[/tex]
[tex]6.7tan(34^\circ)=x[/tex]
[tex]x=6.7tan(34^\circ)[/tex]
[tex]x\approx4.5[/tex]
