trigonometry question! find the vaule of x. round to the nearest tenth!

Answer:
Step-by-step explanation:
Look at the picture.
Use tangent:
[tex]tangent=\dfrac{opposite}{adjacent}[/tex]
We have a measure of the angle and length of the adjacent:
[tex]\alpha=10^o,\ adjacent=500[/tex]
[tex]\tan10^o\approx0.17633[/tex]
Substitute:
[tex]\dfrac{x}{500}=0.17633[/tex] multiply both sides by 500
[tex]x=88.165\to x=88.2[/tex]