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#1 2012-12-10 13:49:32

infinitebrain
Member
Registered: 2008-07-01
Posts: 153

Vector Problem

Ima Hyker is camped out in the forest. After breakfast she walks 16 km on a bearing
of 327° then she walks 12 km on a bearing of 237°. What bearing will Ima have to
walk to head straight back to her camp? (nearest degree)

I know how to work it mathematically, but I need a good visual representation smile! Could any of you do me a favor and graph it to show me to you can graphically look at this?


The best thing about life is you don't know what to expect

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#2 2012-12-10 14:40:41

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,364

Re: Vector Problem

Hi infinitebrain;

I know nothing about bearings. I get lost going around the corner. I navigate by taking a big ball of twine with me and letting it out as I go. Then I follow it back. I do not use bread crumbs because wasting food is wrong.

Here is what I drew:

View Image: 2012-12-10_183953.gif

In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#3 2012-12-10 19:55:33

bob bundy
Moderator
Registered: 2010-06-20
Posts: 6,380

Re: Vector Problem

hi infinitebrain,

To avoid confusion amongst navigators, and so that they can use a magnetic compass to determine which way to go, bearings are measured clockwise from North.

I have made a sketch of the problem.  The distances and angles are not accurately shown.

Bob

View Image: infinitebrain4.gif

You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei

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#4 2012-12-11 12:43:17

infinitebrain
Member
Registered: 2008-07-01
Posts: 153

Re: Vector Problem

Thank you bob and bobbym! You've both been a enormous help! big_smile


The best thing about life is you don't know what to expect

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