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OpenStudy (wkep1234):
Find the measure of A to the nearest tenth of a degree.
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OpenStudy (wkep1234):
OpenStudy (michele_laino):
hint:
if we apply the theorem of Carnot, we can write:
\[{36^2} = {42^2} + {71^2} - 2 \cdot 42 \cdot 71 \cdot \cos A\]
OpenStudy (michele_laino):
then we have:
\[\cos A = \frac{{{{42}^2} + {{71}^2} - {{36}^2}}}{{2 \cdot 42 \cdot 71}} = ...?\]
OpenStudy (michele_laino):
please complete the computation
OpenStudy (wkep1234):
ok gimme a sec :)
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OpenStudy (wkep1234):
is it .9237?
OpenStudy (wkep1234):
@Michele_Laino ?
OpenStudy (michele_laino):
correct!
Next we have to compute this:
\[A = {\cos ^{ - 1}}\left( {0.9237} \right) = ...?\]
OpenStudy (wkep1234):
would it be .3931?
OpenStudy (michele_laino):
please set the mode "deg" on your calculator, first
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OpenStudy (wkep1234):
ok one sec
OpenStudy (wkep1234):
hmm i cant seem to find it... any hints?
OpenStudy (wkep1234):
i have a TI-84 plus calculator by texas instruments
OpenStudy (michele_laino):
do you use a Windows PC?
OpenStudy (wkep1234):
i have one, but i am using a mac right now
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OpenStudy (michele_laino):
I have a Sharp WriteView calculator, so I give the numerical answer:
A=22.53 degrees, namely \(A=22°\;30'\) approximately
OpenStudy (wkep1234):
thank you so much!
OpenStudy (michele_laino):
:)
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