Find the value of x. Round the length to the nearest tenth.

To find value of x we can use the sine angle function. From definition and basics of trigonometry we know that,
[tex]\sin(\theta)=\dfrac{\mathrm{opposite}}{\mathrm{hypotenuse}}[/tex]
In this case our opposite is x and our hypotenuse is 15m and our angle [tex]\theta[/tex] is 35°.
Therefore,
[tex]\sin(35^{\circ})=\dfrac{x}{15}[/tex]
If we solve for x,
[tex]x=15\sin(35^{\circ})\approx\boxed{8.6\mathrm{m}}[/tex]
Hope this helps.
r3t40