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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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
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you need to use the *law of cosines * formula \[\huge\rm a^2 =c^2+b^2 -2bc \cos(A)\]
a is the opposite side of angle a |dw:1438384855308:dw|
|dw:1438384877357:dw|

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

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