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butterflydreamer

  • one year ago

:) help with a bearing question please: Uluru is a large rock on flat ground in Central Australia. Three tourists A, B and C are observing Uluru from the ground. A is due north of Uluru, C is due east of Uluru, and B is on the line-of-sight from A to C and between them. The angles of elevation to the summit of Uluru from A, B and C are 26 degrees, 28 degrees and 30 degrees, respectively. Determine the bearing of B from Uluru.

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  1. butterflydreamer
    • one year ago
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    I tried drawing a diagram but i'm not sure if it's correct LOL. |dw:1436005924386:dw|

  2. anonymous
    • one year ago
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    just want to say one thing .nice name of rock (uluru):P

  3. butterflydreamer
    • one year ago
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    LOL it's a legitimate landmark HAHA

  4. anonymous
    • one year ago
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    lol.okay

  5. anonymous
    • one year ago
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    wtf

  6. Empty
    • one year ago
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    Hahaha beautiful picture and not only that, I can confirm for you that it is correct, good job.

  7. Empty
    • one year ago
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    So now how do we go about actually solving this? I suggest labelling variables for distances and seeing if you can write out equations using these, and see if it is possible to solve for what you want from them. I can help from there if you're still stuck.

  8. butterflydreamer
    • one year ago
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    hmm okay so let's say: OA = x OB = y OC = z Then do i try to find values of x, y and z in terms of tan ?

  9. butterflydreamer
    • one year ago
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    |dw:1436006892249:dw| So like let OP = h ... x = h/ tan 26 etc...? LOL i'm lost

  10. ali2x2
    • one year ago
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    I wish i was that smart O.o

  11. Empty
    • one year ago
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    Hmmm so suppose that you had this situation from birds eye view: |dw:1436007634363:dw| then A and C would have the same elevation instead of 26 and 30 separately right?

  12. butterflydreamer
    • one year ago
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    yesss

  13. butterflydreamer
    • one year ago
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    Not really sure where we're going from there .....

  14. Empty
    • one year ago
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    Hmm, well I'm sorry to say I like being vague but at the same time I think you're the kinda person who really enjoys a challenge so I don't wanna give it away for your sake either. Here's a hint \[u= y \tan (28 )\] where u is the height of Uluru rock. Try expressing other things in terms of trig functions, remember all we want to know at the end of the day is the value of y.

  15. butterflydreamer
    • one year ago
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    oohhhhhhh right! Those were very helpful tips xD Thanks :)

  16. butterflydreamer
    • one year ago
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    wwait.. At the end of the day, we're trying to find the bearing of B from Uluru

  17. Empty
    • one year ago
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    Errr whoops my bad. #_#

  18. butterflydreamer
    • one year ago
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    xD it's okay..

  19. Empty
    • one year ago
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    Well what I mean is that we are looking for the slope of this line here

  20. Empty
    • one year ago
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    |dw:1436009910357:dw|

  21. Empty
    • one year ago
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    |dw:1436009997967:dw| The point we want lies on this line which we want the bearing of

  22. Empty
    • one year ago
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    I feel like I've sorta said this in too confusing of a way by making a mistake in what I said ugh sorrry

  23. butterflydreamer
    • one year ago
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    so far, all i've worked out is that z = sqrt 3 xD ...

  24. Empty
    • one year ago
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    Oh how'd you manage that?

  25. butterflydreamer
    • one year ago
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    well if we focus on |dw:1436010228446:dw|

  26. Empty
    • one year ago
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    I don't think we're actually able to calculate any distances here, only relative distances since we weren't given any distances to begin with. I see, so if you are saying that uluru is 1, then yeah we can calculate distances relative to this unit height. :D

  27. butterflydreamer
    • one year ago
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    ohhh jokes! You can solve this using the area of triangles AOB, BOC and AOC :')

  28. butterflydreamer
    • one year ago
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    thank you @Empty :)! ((also thanks for being patient LOOOL. My brain is lagging today))

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