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13 replies to this topic

#1 3ala2

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Posted 04 November 2009 - 03:01 PM

A plane moves from point 0 and travels in a straight horizontal line a distance of X meters
before it flies a distance of 17X in the same direction making with the earth line an angle X degrees.
Then in the moment the pilot decides to maintain a constant latitude he turns anticlockwise with a certain angle and radius,
and flies horizontally in the new direction for a distance of 18X before he lands to the starting point 0 by an angle of 3X/2.

I think that's all the info needed. Find X.
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#2 Tonybz

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Posted 04 November 2009 - 04:49 PM

The description of events is a bit unclear, especially the last part "flies horizontally in the new direction for a distance of 18X before he lands to the starting point 0 by an angle of 3X/2." A diagram might help. Thanks.
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#3 mojail

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Posted 04 November 2009 - 04:55 PM

Spoiler for Answer

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#4 3ala2

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Posted 04 November 2009 - 08:35 PM

The description of events is a bit unclear, especially the last part "flies horizontally in the new direction for a distance of 18X before he lands to the starting point 0 by an angle of 3X/2." A diagram might help. Thanks.


Drawing1-Model.jpg

this is a top view diagram.. hope it makes it easier to understand.
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#5 3ala2

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Posted 06 November 2009 - 01:52 PM

well.. i didn't think it would be that hard... :blink:
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#6 ljb

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Posted 06 November 2009 - 05:53 PM

Clarification? The problem states the plane starts at 0 and goes straight for X meters. However, the provided picture shows 12X. Which is correct?
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#7 plainglazed

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Posted 06 November 2009 - 07:44 PM

It does seem that there are some inconsistencies here
Spoiler for but

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#8 3ala2

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Posted 06 November 2009 - 10:18 PM

Clarification? The problem states the plane starts at 0 and goes straight for X meters. However, the provided picture shows 12X. Which is correct?



Sorry for this mismatch.. 12X is the correct distance

Spoiler for Hint

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#9 3ala2

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Posted 06 November 2009 - 10:19 PM

It does seem that there are some inconsistencies here

Spoiler for but



well maybe this is something to start with.
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#10 ljb

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Posted 13 November 2009 - 11:35 PM

Spoiler for going off the diagram I got


Any chance we can see your solution + work?
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