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anonymous

  • one year ago

Find the measure of angle A in the following triangle https://static.k12.com/eli/bb/259/4_25245/2_17293_3_25248/8b7911af6ff4046b03fa260fbecdad8100849773/media/24e8a3fc18d4d615b2db04a4683bba3137e4a8b0/mediaasset_774319_1.gif 45.6 degrees 54.5 degrees 40.5 degrees 41.2 degrees

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  1. Nnesha
    • one year ago
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    you need to use the *law of cosines * formula \[\huge\rm a^2 =c^2+b^2 -2bc \cos(A)\]

  2. Nnesha
    • one year ago
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    a is the opposite side of angle a |dw:1438384855308:dw|

  3. Nnesha
    • one year ago
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    |dw:1438384877357:dw|

  4. anonymous
    • one year ago
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    thanks alot! @Nnesha

  5. Nnesha
    • one year ago
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    my pleasure :=)

  6. anonymous
    • one year ago
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    So would the answer be 41.2? @Nnesha

  7. Nnesha
    • one year ago
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    no i didn't get that

  8. Nnesha
    • one year ago
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    show your work plz so i can see where you did the mistake

  9. anonymous
    • one year ago
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    14^2=196=20^2+10^2=400+100+500-2x10x20cos

  10. Nnesha
    • one year ago
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    oaky so how did you get 500 ?

  11. Nnesha
    • one year ago
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    ohh i guess there suppose to be equal sign gotcha

  12. Nnesha
    • one year ago
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    ed*

  13. Nnesha
    • one year ago
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    so you have 196=500-400cos(A) -2 times 10 times 20=^^400

  14. anonymous
    • one year ago
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    so 500-400 is 100

  15. Nnesha
    • one year ago
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    \[\huge\rm 196=500-400\cos(A)\]

  16. Nnesha
    • one year ago
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    no no no no!!!! \(\huge\color{RED}{\rm NO!!}\)

  17. anonymous
    • one year ago
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    oh sorry

  18. Nnesha
    • one year ago
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    okay let cosA =x so 196=500-400x can you subtract 500 from 400x ?

  19. anonymous
    • one year ago
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    No

  20. Nnesha
    • one year ago
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    yes so you can't subtract 500 from -400cos(A) but you need to subtract 500 both sides

  21. Nnesha
    • one year ago
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    |dw:1438387183143:dw|

  22. anonymous
    • one year ago
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    -304 and 500 cancels out

  23. Nnesha
    • one year ago
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    yep \[\huge\rm -304=-400\cos(A)\] now whats next ?

  24. Nnesha
    • one year ago
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    hey?

  25. Nnesha
    • one year ago
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    -400 is multiplying with cos(A) so to cancel out -400 from right side do opposite of multiplication thats mean divide both side by -400

  26. anonymous
    • one year ago
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    So 0.76?

  27. Nnesha
    • one year ago
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    yes so now \[\huge\rm cos(A) = .76\] you need to take inverse of cos \[\huge\rm A=\cos^{-1} .76\] use calculator for inverse cos let me know what you get

  28. anonymous
    • one year ago
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    I only have my phone as a calculator and it dosent have cosine or sin or tan on it

  29. Nnesha
    • one year ago
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    can you use google calculator ?

  30. anonymous
    • one year ago
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    ill try

  31. Nnesha
    • one year ago
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    https://www.google.com/webhp?sourceid=chrome-instant&ion=1&espv=2&ie=UTF-8#q=google%20calculator

  32. Nnesha
    • one year ago
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    okay that's the link^

  33. anonymous
    • one year ago
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    0.41062975246

  34. Nnesha
    • one year ago
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    hmm no first of all calculator should be on degree and use invs cos

  35. Nnesha
    • one year ago
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    wait let me take a screenshot

  36. Nnesha
    • one year ago
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    http://prntscr.com/7zfza5

  37. anonymous
    • one year ago
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    0.75988424831

  38. anonymous
    • one year ago
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    sorry bout that

  39. Nnesha
    • one year ago
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    no that's not correct

  40. Nnesha
    • one year ago
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    okay first step) hit the rad button 2nd) click on inv 3r)D click on cos then write .76

  41. anonymous
    • one year ago
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    40.5358021113

  42. Nnesha
    • one year ago
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    yyaya!!

  43. anonymous
    • one year ago
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    lol thanks alot

  44. Nnesha
    • one year ago
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    my pleasure :=)

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