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Math Help - Trigonometry help?

  1. #1
    4AM
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    Trigonometry help?

    How would you find the length of RS? What do you have to find first? Can someone please explain this to me step by step? Help is appreciated!




    Same for this one, how would you find the length of TU? Where would you start and what do you have to do?
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  2. #2
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    Problem #1
    \sin = \frac{opposite}{hyp}
    If you use the angle with 32 deg you would have Opposite = 25 and
    Hyp = x

    when you get that you can use a ^2 + b ^2 = c ^2

    A = 25
    B = RS
    C = the hyp you found earlier

    Problem #2

    Im not sure on the second one because I don't know if you can use S \frac{o}{h} C \frac{A}{H} T \frac{O}{A} or not without a Right angle its been too long for me if i have time ill figure out how to do it and help you out.
    Last edited by tjsfury; December 8th 2008 at 06:59 PM.
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  3. #3
    4AM
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    Quote Originally Posted by tjsfury View Post
    Problem #1
    \sin = \frac{opposite}{hyp}
    If you use the angle with 32 deg you would have Opposite = 25 and
    Hyp = x

    when you get that you can use a ^2 + b ^2 = c ^2

    A = 25
    B = RS
    C = the hyp you found earlier
    Problem #2 ---- give me a second to look at it
    I don't think the opposite side of the triangle (if you're looking through at 32 degrees) would be 25 though. The base of the triangles aren't the same length, but together they add up to 50 meters.

    Edited:
    One of triangle's bases has a bigger length than the other (for the first question)
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  4. #4
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    Yea i agree let me get a pencil out and think about it im bored enough to help lol
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  5. #5
    4AM
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    Quote Originally Posted by tjsfury View Post
    Yea i agree let me get a pencil out and think about it im bored enough to help lol

    Haha, alright. I appreciate you helping me =)
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  6. #6
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    ok i figured it out, i think..... 32+26 = 58 (1 angle of big triangle)
    180 - (32 + 90) = 58 (angle of top side) 2 angles are the same 2 opposite sides are the same in length
    .... been a long time all angles of a triangle added together = 180 right?
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  7. #7
    Super Member 11rdc11's Avatar
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    Quote Originally Posted by 4AM View Post
    How would you find the length of RS? What do you have to find first? Can someone please explain this to me step by step? Help is appreciated!




    Same for this one, how would you find the length of TU? Where would you start and what do you have to do?
    The 1st triangle is an iscolses triangle. The top left angle is 58 degrees and the bottom left is 64 degrees, and the middle right is 58 degrees

    So \cos {26} = \frac{RS}{50}
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  8. #8
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    ok yea i looked it up all angles = 180

    So your bottom leg SQ = 50m

    Because of the equal angles then you can use..... Sin with 26 knowing that H = 50
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  9. #9
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    Quote Originally Posted by 11rdc11 View Post
    The 1st triangle is an iscolses triangle. The top left angle is 58 degrees and the bottom left is 64 degrees, and the middle right is 58 degrees
    Lol i figured that out right before you posted it :] so how about his second one?

    for some reason i remember something about having a line like a Z shape inner and outter angles being equal....
    in his problem would the bottom right angle be 38.8? Probably not
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  10. #10
    Super Member 11rdc11's Avatar
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    Quote Originally Posted by tjsfury View Post
    ok yea i looked it up all angles = 180

    So your bottom leg SQ = 50m

    Because of the equal angles then you can use..... Sin with 26 knowing that H = 50
    U mean cos not sin right
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  11. #11
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    Quote Originally Posted by 11rdc11 View Post
    U mean cos not sin right
    Yea i do I was looking at the 90 degree mark and didn't look at the angles (if you look i said that H=50.... yea that side isn't H its A) what about his #2? any ideas
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  12. #12
    Super Member 11rdc11's Avatar
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    Quote Originally Posted by tjsfury View Post
    Yea i do I was looking at the 90 degree mark and didn't look at the angles (if you look i said that H=50.... yea that side isn't H its A) what about his #2? any ideas
    Yea you have to find all the angles and then use the law of sines

    \frac{\sin{15}}{12.5} = \frac{\sin{38.8}}{TV}
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  13. #13
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    Ha I was right about the 38.8 angle.... Z angles (alternate angles) are equal.... shouldn't be too hard knowing that
    Angles
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  14. #14
    Super Member 11rdc11's Avatar
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    From there either use law of sines or sin or cos to TU
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  15. #15
    4AM
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    Quote Originally Posted by 11rdc11 View Post
    The 1st triangle is an iscolses triangle. The top left angle is 58 degrees and the bottom left is 64 degrees, and the middle right is 58 degrees

    So \cos {26} = \frac{RS}{50}
    Wait, I don't get why we have to use cos?
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