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Mathematics 7 Online
OpenStudy (wkep1234):

Find the measure of A to the nearest tenth of a degree.

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 :)

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

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

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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