Question 1107076
An airplane flies 120 kilometers from an airport in a direction of 210 degrees.
 How far west of the airport is the airplane then? How far south?
 In navigation, directions are given in degrees measured clockwise from north?
:
Draw this out as right triangle where the hypotenuse is 120 km
Draw a line due south (s) of the airport as one leg forming an angle of 30 degrees
210 - 180 = 30 degrees
then
cos(30) = {{{s/120)}}}
s = cos(30) * 120
s = 103.9 km south of the 
and
sin(30) = {{{w/120}}}
w = sin(30) * 120
w = 60 km west of the airport