Quantcast

Got Homework?

Connect with other students for help. It's a free community.

  • across
    MIT Grad Student
    Online now
  • laura*
    Helped 1,000 students
    Online now
  • Hero
    College Math Guru
    Online now

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

highschoolmom2010 Group Title

Use the Law of Sines to find the values of x and y. Round to the nearest tenth.

  • 11 months ago
  • 11 months ago

  • This Question is Closed
  1. highschoolmom2010 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    • 11 months ago
    1 Attachment
  2. highschoolmom2010 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    how do i use this to find Y i think i know how to get x

    • 11 months ago
  3. OffnenStudieren Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    one second

    • 11 months ago
  4. OffnenStudieren Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1377964651424:dw|

    • 11 months ago
  5. highschoolmom2010 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    i have \[\frac{ \sin 22 }{ x }=\frac{ \sin 119 }{ 5 }\] \[5 (\sin 22)= x(\sin 119)\] \[\frac{ 5 (\sin 22) }{ \sin 119 }=\frac{ x (\sin 119) }{ \sin 119}\]

    • 11 months ago
  6. OffnenStudieren Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    you can do that too

    • 11 months ago
  7. highschoolmom2010 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    \[\frac{ 5 \sin 22 }{ \sin 119}=x\]

    • 11 months ago
  8. OffnenStudieren Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    yep, pop that into the calc if you want. You can also use SOH CAH TOA, but the problem wants you to use the law of sines. You are correct, but get someone else to check

    • 11 months ago
  9. highschoolmom2010 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    for ^^ i got 2.14153986217=x

    • 11 months ago
  10. highschoolmom2010 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    ok so how do i get Y

    • 11 months ago
  11. DebbieG Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    The method is the same, you just need to know the measure of the angle that is opposite y. Since you know the measures of the other 2 angles, how could you find the measure of that third angle?.... :)

    • 11 months ago
  12. highschoolmom2010 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    180-119-22

    • 11 months ago
  13. DebbieG Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    Right. so that gives you the angle opposite y. Now just set up your law of sines ratios using that angle and y, with 5 and sin(119*)

    • 11 months ago
  14. highschoolmom2010 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1377966257836:dw|

    • 11 months ago
  15. DebbieG Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    ^^yes, good.... now find y. :)

    • 11 months ago
  16. highschoolmom2010 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    \[\frac{ \sin 39 }{ y }=\frac{ \sin119 }{ 5 }\] \[5 \sin 39= Y \sin 119\] \[\frac{5 \sin 39 }{ \sin 119 }=\frac{ Y \sin 119 }{\sin 119 }\] \[\frac{ 5 \sin 39 }{ \sin 119 }=y\] y=3.59768014551

    • 11 months ago
  17. highschoolmom2010 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    y approx. 3.6

    • 11 months ago
  18. DebbieG Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    And here is a Law of Sines tip I like to teach my students: You set up the first one as : \(\Large \frac{ \sin 22 }{ x }=\frac{ \sin 119 }{ 5 }\) which is COMPLETELY FINE and perfectly correct. :) BUT, you can also put the sides lengths in the num'r and the sine values in the den'r, that's equivalent: \(\Large \frac{x}{ \sin 22 }=\frac{5}{ \sin 119 }\) Now you're thinking, "so if it's the same thing, then why are you bothering to tell me this??" Well, the reason is that, if you compare the two, I think you'll agree that the 2nd version is algebraically easier to deal with, when you're solving for x. Just one step: multiply both sides by sin(22). So I find that preferable. And you can get away with it, since you will never have a 0 den'r, since the sine values won't be 0 as long as you truly have a triangle! (Could only get a sine=0 if you had an angle of 0 or 180). so the point is: put the UNKNOWN in the den'r, and it will simplify the process of solving for that unknown. :) If the angle is the unknown, put sines in num'r and sides in den'r; vice versa if the side is your unknown. :)

    • 11 months ago
  19. DebbieG Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    Yes, good job, that's what i got for y too. :)

    • 11 months ago
  20. DebbieG Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    Ah, poo.... typed all that out and made a mistake at the end, lol.... *put the UNKNOWN in the NUM'R!! not the den'r. lol

    • 11 months ago
  21. highschoolmom2010 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    thanks :))

    • 11 months ago
  22. DebbieG Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    yw :)

    • 11 months ago
    • Attachments:

See more questions >>>

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.