An airplane flies in a straight line along a course defined by an angle [math]\theta[/math], such that [math]\theta = 0[/math] represents due east. The plane takes off from the origin, (0, 0), and travels in a straight line along [math]\theta = \frac{5\pi}{3}[/math]. If the plane continues along this course and lands 100 miles to the east of the origin, how many total miles has the plane traveled?
[list=1] [*]Determine the quadrant in which [math]\theta = \frac{5\pi}{3}[/math] lies. [*]Determine the total miles the airplane has traveled after traveling 100 miles to the east. [/list] This applet is provided by Walch Education as supplemental material for the [i]UCSS Secondary Math II[/i] program. Visit [url="http://www.walch.com"]www.walch.com[/url] for more information on our resources.