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
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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?
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210 degrees for navigation corresponds to 240 degrees for trigonometry.
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West distance = 120*cos(240) = -60 km (means 60 km west)
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South distance 120*sin(240) = -103.9 km (means 103.9 km south)
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Cheers,
Stan H.
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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
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