Answer:
x = 0.15
Step-by-step explanation:
[tex]\boxed{sin\theta=\frac{opposite\ (y)}{hypotenuse\ (r)} }[/tex]
[tex]\boxed{cos\theta=\frac{adjacent\ (x)}{hypotenuse\ (r)} }[/tex]
[tex]\boxed{tan\theta=\frac{opposite\ (y)}{adjacent\ (x)} }[/tex]
for ∠B:
Therefore:
[tex]sin\ B=\frac{y}{r}[/tex]
[tex]5x+0.81=\frac{AC}{BC}[/tex]
for ∠C:
Therefore:
[tex]cos\ C=\frac{x}{r}[/tex]
[tex]2x+0.36=\frac{AC}{BC}[/tex]
[tex]Since\ \frac{AC}{BC} =\frac{AC}{BC}[/tex]
[tex]Therefore:[/tex]
[tex]5x+0.81=2x+0.36[/tex]
[tex]5x-2x=0.36-0.81[/tex]
[tex]3x=-0.45[/tex]
[tex]x=0.15[/tex]
