Using the law of cosines, in triangle RST, if r=14yd, s=9yd, t=6yd, find m
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OpenStudy (campbell_st):
do you know the formula for the law of cosines when finding an angle...?
OpenStudy (tw101):
c^2=a^2+b^2/2abcos(
OpenStudy (tw101):
whoops messed up
OpenStudy (tw101):
c=a2+b2﹣2abcosγ
OpenStudy (jdoe0001):
got picture?
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OpenStudy (tw101):
No, sorry. Thats all it gave me.:(
OpenStudy (campbell_st):
close,this is what you need
\[\cos(S) = \frac{r^2 + t^2 - s^2}{2 \times r \times s}\]
plug the values in and calculate, the answer is a decimal less than 1.
when you get the answer, you then then
\[\\S = cos^{-1}(answer)\]
OpenStudy (tw101):
okay. Ill plug it into my calculator. one sec.
OpenStudy (campbell_st):
oops correction it should read
\[\cos(S) = \frac{r^2 + t^2 -s^2}{2 \times r \times t}\]
OpenStudy (tw101):
okay i got 151/168
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OpenStudy (tw101):
or .90
OpenStudy (campbell_st):
great so the next step is
\[S = \cos^{-1}(\frac{151}{168})\]