The difference between north of east and east of north

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Homework Help Overview

The problem involves determining the direction of a friend's location after skiing a specified distance east and then north. The context is related to navigation and compass directions.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to calculate the angle using trigonometric functions but expresses uncertainty about how to interpret the angle in terms of "north of east" versus "east of north." Questions arise regarding the rules for these directional terms and whether there are specific conventions for measuring angles.

Discussion Status

Participants have provided clarifications about compass directions and the standard convention of measuring angles in a clockwise direction. Some resources have been shared to further explain the terminology and conventions used in navigation.

Contextual Notes

The original poster is seeking guidance on the correct interpretation of directional terms and how to apply them in the context of the problem. There is an indication of confusion regarding the angle measurements and their respective orientations.

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Homework Statement


In what direction is your friend from the starting point after skiing 3km east and then 1.5km north?

Homework Equations


angle = tan-1(1.5km/3km)
= 26.6 degrees

The Attempt at a Solution


they want the answer in terms of degrees "north of east "
not sure what the rules are for the angle that I should use with north of east
as compared to that to use with east of north ? 90-26.6 = 63.4
is there any rule regarding clock-wise and counter-clock wise that would be useful?[/B]
 
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Compass directions are given in a CW (not counter-CW) direction ordinarily.
 
Bystander said:
Compass directions are given in a CW (not counter-CW) direction ordinarily.
For compass directions, north is 0 degrees, east is 90 degrees, south is 180 degrees, and west is 270 degrees.

This is the compass rose, with the directions also indicated in degrees:

744px-Compass_Card_B%2BW.svg.png

​
 
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