anonymous
  • anonymous
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
Trigonometry
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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Nnesha
  • Nnesha
you need to use the *law of cosines * formula \[\huge\rm a^2 =c^2+b^2 -2bc \cos(A)\]
Nnesha
  • Nnesha
a is the opposite side of angle a |dw:1438384855308:dw|
Nnesha
  • Nnesha
|dw:1438384877357:dw|

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More answers

anonymous
  • anonymous
thanks alot! @Nnesha
Nnesha
  • Nnesha
my pleasure :=)
anonymous
  • anonymous
So would the answer be 41.2? @Nnesha
Nnesha
  • Nnesha
no i didn't get that
Nnesha
  • Nnesha
show your work plz so i can see where you did the mistake
anonymous
  • anonymous
14^2=196=20^2+10^2=400+100+500-2x10x20cos
Nnesha
  • Nnesha
oaky so how did you get 500 ?
Nnesha
  • Nnesha
ohh i guess there suppose to be equal sign gotcha
Nnesha
  • Nnesha
ed*
Nnesha
  • Nnesha
so you have 196=500-400cos(A) -2 times 10 times 20=^^400
anonymous
  • anonymous
so 500-400 is 100
Nnesha
  • Nnesha
\[\huge\rm 196=500-400\cos(A)\]
Nnesha
  • Nnesha
no no no no!!!! \(\huge\color{RED}{\rm NO!!}\)
anonymous
  • anonymous
oh sorry
Nnesha
  • Nnesha
okay let cosA =x so 196=500-400x can you subtract 500 from 400x ?
anonymous
  • anonymous
No
Nnesha
  • Nnesha
yes so you can't subtract 500 from -400cos(A) but you need to subtract 500 both sides
Nnesha
  • Nnesha
|dw:1438387183143:dw|
anonymous
  • anonymous
-304 and 500 cancels out
Nnesha
  • Nnesha
yep \[\huge\rm -304=-400\cos(A)\] now whats next ?
Nnesha
  • Nnesha
hey?
Nnesha
  • Nnesha
-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
anonymous
  • anonymous
So 0.76?
Nnesha
  • Nnesha
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
anonymous
  • anonymous
I only have my phone as a calculator and it dosent have cosine or sin or tan on it
Nnesha
  • Nnesha
can you use google calculator ?
anonymous
  • anonymous
ill try
Nnesha
  • Nnesha
https://www.google.com/webhp?sourceid=chrome-instant&ion=1&espv=2&ie=UTF-8#q=google%20calculator
Nnesha
  • Nnesha
okay that's the link^
anonymous
  • anonymous
0.41062975246
Nnesha
  • Nnesha
hmm no first of all calculator should be on degree and use invs cos
Nnesha
  • Nnesha
wait let me take a screenshot
Nnesha
  • Nnesha
http://prntscr.com/7zfza5
anonymous
  • anonymous
0.75988424831
anonymous
  • anonymous
sorry bout that
Nnesha
  • Nnesha
no that's not correct
Nnesha
  • Nnesha
okay first step) hit the rad button 2nd) click on inv 3r)D click on cos then write .76
anonymous
  • anonymous
40.5358021113
Nnesha
  • Nnesha
yyaya!!
anonymous
  • anonymous
lol thanks alot
Nnesha
  • Nnesha
my pleasure :=)

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