Mathematics
20 Online
OpenStudy (anonymous):
In triangle ABC, what is the measure of A if a = 11, b = 13, and c = 7?
57.79°
49.62°
38.17°
32.21°
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OpenStudy (campbell_st):
use the law of cosines...
\[\cos(A) = \frac{c^2 + b^2 - a^2}{2bc}\]
OpenStudy (anonymous):
ight
OpenStudy (anonymous):
7^2+13^2-11^2/2(13)(7)?
OpenStudy (campbell_st):
that will give the cos(A)
to find A
\[A = \cos^{-1}(answer)\]
OpenStudy (anonymous):
so 182
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OpenStudy (anonymous):
97/182?
OpenStudy (campbell_st):
no... use brackets
(b^2 + c^2-a^2)/(2bc)
OpenStudy (campbell_st):
ok... then find the answer
OpenStudy (campbell_st):
oops angle
OpenStudy (anonymous):
I multiplied the bottom and got 182
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OpenStudy (campbell_st):
ok... so on the calculator is shift cos then 97/182
OpenStudy (anonymous):
and then I get 53.3%
OpenStudy (anonymous):
ok
OpenStudy (campbell_st):
well that's not correct...
does you calculator have a small D at the top so you are working in degrees..?
OpenStudy (anonymous):
nope
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OpenStudy (campbell_st):
what does it have,,?
OpenStudy (anonymous):
when I do (cos)^-1 97/182 I get 90
OpenStudy (anonymous):
90 degrees
OpenStudy (campbell_st):
here is an online calculator
http://web2.0calc.com/
press these keys
2nd
acos
2nd
97 divide 182 )
then
=
OpenStudy (anonymous):
and then I get 58.75 degrees
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OpenStudy (anonymous):
Its 57
OpenStudy (anonymous):
57.79