What Are the Correct Components of a 20km Displacement at N30°E?

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The correct components of a 20 km displacement at N30°E are 17 km to the north and 10 km to the east. The confusion arose from interpreting the angle; N30°E indicates 30 degrees east of north, which means the angle used in calculations should be 60 degrees. The formulas for calculating the components are Ay = A Sin σ and Ax = A Cos σ, where A is the total displacement and σ is the angle from the north.

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A boat sails in a straight line 20km [N30°E]. What are the components of its displacement to the north and east?

the answers given are 17 km [N] and 10 km [E], but using the formulae
Ay = A Sin σ and Ax = A Cos σ, I've got the values mixed up... could it be because I've drawn it wrong? I've got it drawn as 30° North of East... Does N30°E mean 30° east of north?
 
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hey Bobby,

yes, it does mean 30 degrees east of north. therefore your sigma value is 60 deg instead of 30.
that should fix you :smile:

Beau
 

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