Vector Components and Flight Paths

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Homework Help Overview

The discussion revolves around vector components related to the flight paths of a commuter airplane traveling between multiple cities. The problem involves calculating the x-component of vector B based on given distances and angles.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants are attempting to determine the x-component of vector B using trigonometric relationships. There is a discussion about the correct interpretation of angles and their reference axes.

Discussion Status

Some participants have provided their calculations for the components of vector B, while others are questioning the reference angle for the direction of flight to city B. The conversation indicates that there is an ongoing exploration of the problem without a clear consensus on the correct approach.

Contextual Notes

There is mention of specific angles and directions (e.g., "west of north") that may affect the calculations, and participants are clarifying these definitions as part of the discussion.

runner1738
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A commuter airplane starts from an airport located at the origin. first it flies to city "A" located a =110km away from the airport in a direction alpha = 36 degrees North of East. Next it flies b =61.8km beta=38 degrees west of north to city "B". Finally it flies c=168 km due West to city "C". Consider "E" to be the positive x and "N" to be the positive y axis. Which of the following is equal to the x-component bx of vector B? then the answers are like bx=-btanbeta and so forth
 
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Okay,what did u do...?Or try to do ?

Daniel.
 
ok i got bx=-b sin beta, and by = b cos beta, but for the rx compent I am not getting the right answer i think its ax + bx=rx -110sin(36)+61.8sin(38) but that wasnt right
 
That angle of 38° (for "B") wrt what axis is it computed...?

Daniel.
 
west of north sorry to city B
 

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