The Solution:
Representing the problem in a diagram, we have
We are required to find the value of x in the diagram above.
By Trigonometrical Ratio, we have
[tex]\sin 23^o=\frac{573}{x}[/tex]Cross multiplying, we get
[tex]x\sin 23=573[/tex]Dividing both sides by sin 23, we get
[tex]x=\frac{573}{\sin23}=1466.48\approx1466\text{ }[/tex]Therefore, the correct answer is 1466.