SOLUTION: 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 give

Click here to see ALL problems on Travel Word Problems

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 degress measured clockwise from north?
Found 2 solutions by stanbon, ankor@dixie-net.com:
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
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?
-------------------
210 degrees for navigation corresponds to 240 degrees for trigonometry.
------
West distance = 120*cos(240) = -60 km (means 60 km west)
-----------------
South distance 120*sin(240) = -103.9 km (means 103.9 km south)
------------
Cheers,
Stan H.
----------

Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website!
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 = cos(30) * 120
s = 103.9 km south of the
and
sin(30) =
w = sin(30) * 120
w = 60 km west of the airport