~*~*~help please!! 10 points n medal!!~*~*~
Find the measure of angle A (image below). Round the answer to the nearest tenth.
A.
49.5°
B.
53.1°
C.
63.4°
D.
66.4°
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OpenStudy (misty1212):
hi!!
OpenStudy (misty1212):
is it a law of sines question?
or law of cosines?
OpenStudy (anonymous):
cosines! my computer is whack and notloading up anything
OpenStudy (misty1212):
you got all 3 sides labelled?
OpenStudy (anonymous):
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OpenStudy (anonymous):
there we go! thank you!
OpenStudy (misty1212):
\[4^2=2^2+5^2-2\times 5\times \cos(A)\]
OpenStudy (misty1212):
so
\[16=29-10\cos(A)\]
OpenStudy (misty1212):
first we get \(\cos(A)\) by itself, then A
OpenStudy (misty1212):
\[\cos(A)=\frac{13}{10}=1.3\]hmm made a mistake somewhere
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OpenStudy (anonymous):
hey sorry, i dont have a calculator, give me a minuet to look
OpenStudy (misty1212):
oh doh
OpenStudy (misty1212):
\[2\times2\times 5=20\]
OpenStudy (anonymous):
no batteries ):
OpenStudy (misty1212):
\[4^2=2^2+5^2-2\times 5\times2\times \cos(A)\]\[16=29-20\cos(A)\] so
\[\cos(A)=\frac{13}{20}=.65\]
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