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  1. #1
    Banned Ultimus's Avatar
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    Reps for help with a hard trigonometry word problem.

    43. A visitor to the Leaning Tower of Pisa observed that the tower's shadow was 40 meters long and that the angle of elevation from the tip of the shadow to the top of the tower was 57 degrees. The tower is now 54 meters tall, measured from the ground to the top along the center line of the tower (see the figure). Approximate the angle a that the center line of the tower makes with the vertical.



    (Yes I drew it in paint)

    The back of the book says the answer is 5.4 degrees.

    How did they get this?
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  2. #2
    Banned Ultimus's Avatar
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  3. #3
    Stylin' on you niktak11's Avatar
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    I'll try it now. (probably won't get it)
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  4. #4
    Stylin' on you niktak11's Avatar
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    I got 5.2185 degrees.
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  5. #5
    Banned Ultimus's Avatar
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    Can anyone explain how to do it?
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  6. #6
    Stylin' on you niktak11's Avatar
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    Originally Posted by Ultimus View Post
    Can anyone explain how to do it?
    I'll try to draw it in paint but i've never used it before so it will take awhile.
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  7. #7
    Banned Ultimus's Avatar
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    Originally Posted by niktak11 View Post
    I'll try to draw it in paint but i've never used it before so it will take awhile.
    wow you have a computer and have never used paint?
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  8. #8
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    I don't know about no trigomomotry but that is the leaning tower of Pisa... FACT.
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  9. #9
    Banned Ultimus's Avatar
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    Originally Posted by niktak11 View Post
    I'll try to draw it in paint but i've never used it before so it will take awhile.
    wow you have a computer and have never used paint?
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  10. #10
    Stylin' on you niktak11's Avatar
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    Here, if you don't understand it tell me.
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  11. #11
    Stylin' on you niktak11's Avatar
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    Bump, do you get it now?
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  12. #12
    Banned Ultimus's Avatar
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    I just repped you, and I'm in the process of working it out, thanks for the trouble, I will let you know in a minute if I get it,
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  13. #13
    Banned Ultimus's Avatar
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    Still dont get it, I'm sorry, but could you explain each step you took to find each value? I've been working on this problem for atleast an hour!
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  14. #14
    Banned Ultimus's Avatar
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  15. #15
    Stylin' on you niktak11's Avatar
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    I'll do it step by step real quick.
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  16. #16
    Banned Ultimus's Avatar
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    Originally Posted by niktak11 View Post
    I'll do it step by step real quick.
    wait before you do, a guy on another forum says your wrong, and that this is the right way to do it:

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  17. #17
    Stylin' on you niktak11's Avatar
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    1. I seperated the big triangle into 2 triangles (Triangle Y and triangle Z)
    Triangle Y is congruent to Triangle X by Hypothenuse-Leg Congruency. You got this part?
    Last edited by niktak11; 05-22-2008 at 08:50 PM.
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  18. #18
    BOILER UP! boast's Avatar
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    here goes my long hard way.

    sin57 / 54m = sin y / 40m

    then you get angle y, you do 180 - 57 - angle y = the angle near A (z)

    since the other line is a straight, i assume perpendicular to the floor, so it is 90 degrees. so 90 - angle z = angle a


    edit; works with post # 16
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  19. #19
    Stylin' on you niktak11's Avatar
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    Wait, just looked at it again. That way works too, but it's harder. (both are easy though)

    Reading the question again I think you drew the picture wrong so my way doesn't work. In your picture it looks like the hypothenuse of the big triangle goes up to the top of the hypotenuse of the smaller triangle instead of the leg. Dang I failed, lol. Next time I'll make sure to re-read the question.
    Last edited by niktak11; 05-22-2008 at 08:53 PM.
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  20. #20
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    Thumbs up

    Originally Posted by Ultimus View Post
    wait before you do, a guy on another forum says your wrong, and that this is the right way to do it:

    thats teh right way to do it.
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  21. #21
    Stylin' on you niktak11's Avatar
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    Originally Posted by RMV View Post
    thats teh right way to do it.
    X2, I completely misread the question.
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  22. #22
    baby whale xtrmforce's Avatar
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    Originally Posted by niktak11 View Post
    X2, I completely misread the question.
    good effort all the same
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    wait could someone please explain step by step how to do it? I will rep infinately if someone can. It's 11 at night and I have been working at these for hours!
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    Banned Ultimus's Avatar
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    bump!
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  25. #25
    Banned Ultimus's Avatar
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    Originally Posted by Ultimus View Post
    wait before you do, a guy on another forum says your wrong, and that this is the right way to do it:

    I dont understand why 38 and 33 aren't reversed, isn't it

    40/sinx = 54/sin57 for the law of sins?
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  26. #26
    Stylin' on you niktak11's Avatar
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    Do you know what the Law of Sines is? that's all he did. I drew a pic.
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  27. #27
    I eat kittens HFTriad12's Avatar
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    wow this is simple maths. Do it yourself dumbass!
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  28. #28
    Banned Ultimus's Avatar
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    Originally Posted by niktak11 View Post
    Do you know what the Law of Sines is? that's all he did.
    but why isn't the 38 and the 33 switched, I used

    40/sinx = 54/sin 57......

    why is the 38.4, 38.4? shouldn't it be where the 33 is?
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  29. #29
    Stylin' on you niktak11's Avatar
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  30. #30
    Stylin' on you niktak11's Avatar
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    Originally Posted by Ultimus View Post
    but why isn't the 38 and the 33 switched, I used

    40/sinx = 54/sin 57......

    why is the 38.4, 38.4? shouldn't it be where the 33 is?
    The 54 is the middle line not the left leg. See the pic I drew.
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