PLZ HELP! Work must be shown for this problem. Solve for x. Round answers to the nearest hundredth (2 decimal places).

Answer:
About 555.43 feet
Step-by-step explanation:
The sine of an angle is equivalent to the length of the opposite side divided by the length of the hypotenuse. In this case:
[tex]\sin 80= \dfrac{x}{564} \\\\x=\sin 80 \cdot 564\approx 555.43[/tex]
Hope this helps!