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OpenStudy (beastboy17):
What is the approximate value of 0 , if tan 0 = 7/9 ? ,
38°
52°
74°
16°
63°
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OpenStudy (beastboy17):
@ganeshie8
OpenStudy (beastboy17):
I need this explained I don't understand this
OpenStudy (michele_laino):
we can write this:
\[\tan \left( {45} \right) = 1 = \frac{7}{9} + \frac{2}{9} = \tan \theta + \frac{2}{9}\]
OpenStudy (michele_laino):
so, we have:
\[\tan \theta = \tan \left( {45} \right) - \frac{2}{9}\]
then we can state that \theta is less than 45 degrees
OpenStudy (beastboy17):
so could I sub one of the answers into the equation lets say Tan(38) what could I sub in for that?
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OpenStudy (michele_laino):
yes! try with 38 degrees
OpenStudy (beastboy17):
so would 2/9 work still o should I use something different
OpenStudy (beastboy17):
or*
OpenStudy (michele_laino):
for current exercise, 2/9 works well, since:
(2/9)+ (7/9)=1= tan(45)
OpenStudy (michele_laino):
furthermore, since:
\[\tan 30 = \frac{{\sqrt 3 }}{3} > \frac{{1.7}}{3} = \frac{{5.1}}{9}\]
our angle \thta has be greater than 30 degrees
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OpenStudy (beastboy17):
ok
OpenStudy (beastboy17):
its bigger than 30 and less than 45 so which answer would work
OpenStudy (beastboy17):
so 38 would be the answer??
OpenStudy (michele_laino):
yes! That's right!
OpenStudy (beastboy17):
yes thank you so much
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OpenStudy (beastboy17):
I gave you a medal
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