We have capital A there the angle that we are looking for and we have a length over
here so that little a over here we just write down the side guide line over sin A = let
us do C here because C goes across there, so little c all over sin big C that is the
angle there so here is the sin guide line let us put in the appropriate values.
First of all we have the length here for little a that is 12.5 let us put that in, we have
12.5 all over sin A that is the angle here in orange that we are looking for let us put
that in here – and that is going to equal little c which is right there opposite big
C here which is the angle opposite that directly in front we put that in there – is 8.4 le
t us put that in there—all over sin C which is 36 degrees and 18 minutes – ok what we
have to do now is cross multiply as we normally do, that times that, and that times that so
let us put that in – ok, what we going to do now?
We are going to divide both sides what we want to eliminate, we are want to eliminate
this 8.4 so we can make the sin A the subject so just mark out the subject – that’s
that subject that we want let’s divide both sides by 8.4 – that going to yield for us
sin A all by itself – move over the 8.4 – okay we are going to use our calculator
now and install it 12.5 times sin 36 degrees 18 minutes now that top part is going to turn
into 7.4 –move over the existing, the divided by – 8.4.
Okay, so 7.4 divided by 8.4 on your calculator when we divide that, that’s going to give
us a sin of – dividing knot point eight eight zero nine seven – okay, now what do
we do on this situation, we have a sin A equaling a big decimal like that get the A by itself
so we go to the calculator shift A or inverse A second shift A whatever you have in your
calculator that’s going to turn out into Single A – so angle A up there in orange
is what we are looking for is going to equal and then press degrees shift minutes and seconds
or shift dms depending on your calculator.
And the angle A final the answer will be 61 degrees and 45 minutes.
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