Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

kennedav000

  • 2 years ago

So, on my right triangle triangle I have here, they give all the sides and are asking for an angle The sides are Opp=15 Adj=8 Hyp=17 And we are looking for the x angle.

  • This Question is Closed
  1. geoffb
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Do you know SOHCAHTOA? Your sine, cosine, and tangent laws?

  2. kennedav000
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Yes

  3. geoffb
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Okay, since you know all three side lengths, you can use any of the three functions to determine x.

  4. geoffb
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    For example, \(\sin x = \frac{\text{opp}}{\text{hyp}}\)

  5. kennedav000
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    And that is it? Just use 17 over 15 ,divide and my answer would be 1.13?

  6. geoffb
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    It's not x = 1.13. It's sin x = 1.13.

  7. kennedav000
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Ah, sorry for not using correct mathematical vocabulary.

  8. geoffb
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    No, that's not my point. The point is, you need to solve for x. Right now, you only know sin x.

  9. geoffb
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    You need to get rid of the sin.

  10. kennedav000
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Oh? How is this done?

  11. geoffb
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    One thing first. It's not 17/15, it's 15/17.

  12. kennedav000
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Got it

  13. geoffb
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    So, \(\sin x = \frac{15}{17} = 0.882\)

  14. geoffb
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    To get rid of the sin, you calculate \(\sin^{-1}\). On your calculator, you should have a way to do this.

  15. geoffb
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    So, \(x = \sin^{-1} (\frac{15}{17})\)

  16. kennedav000
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I did not know there was such an option? Thank you.

  17. geoffb
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    You might need to hit something like 2nd function, or inverse, then hit sin.

  18. geoffb
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    You should end up with something around 60 degrees, if it's sine of 15/17.

  19. kennedav000
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    This isn't my outcome, I get a decimal of 1.001

  20. geoffb
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Okay, so you took your amount (0.882) and hit inverse sine (sin^-1) and got 1.001?

  21. kennedav000
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Oh but wait, that is sin(h), Sorry, personal mistake.

  22. geoffb
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    No worries.

  23. geoffb
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Since you knew all the sides, you could have also done \(x = \cos^{-1} (\frac{8}{17})\) or \(x = \tan^{-1} (\frac{15}{8})\), and gotten identical answers.

  24. kennedav000
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Odd, I get the decimal of 0.795, how does this lead to 60 degrees?

  25. geoffb
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    What calculation gives you 0.795?

  26. kennedav000
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Well, seeing as I'm using the computer based calculator, this may have swayed my calculation. When typed in, it shows up as *asinh(15 /17)*

  27. geoffb
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Where did you type that in?

  28. kennedav000
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    But lo, I have found my answer as you have predicted, thank you so much kind sir, It was simply a typing error.

  29. geoffb
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    http://www.wolframalpha.com/input/?i=sin%5E-1%280.882%29

  30. geoffb
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Good stuff! You're very welcome. :)

  31. kennedav000
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I shall be on my way! Good day to you, and thank you for your time.

  32. geoffb
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    You too, David! Cheers!

  33. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Ask a Question
Find more explanations on OpenStudy

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.