a^2 + b^2=c^2 because it is a right angle.
So just do (6)^2+6rad(3)= and square root the answer.
OpenStudy (anonymous):
i got 6
OpenStudy (anonymous):
and that really did help clear things up
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OpenStudy (anonymous):
didnt**
jimthompson5910 (jim_thompson5910):
you should get 12
jimthompson5910 (jim_thompson5910):
or you can use the pythagorean theorem
a^2 + b^2 = c^2
6^2 + (6*sqrt(3))^2 = c^2
36 + 36*3 = c^2
36 + 108 = c^2
144 = c^2
c^2 = 144
c = sqrt(144)
c = 12
jimthompson5910 (jim_thompson5910):
so again, the missing side is 12
OpenStudy (anonymous):
okay
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jimthompson5910 (jim_thompson5910):
so,
cos(B) = adj/hyp
cos(B) = 6/12
cos(B) = 1/2
OpenStudy (anonymous):
2.44 as my answer
jimthompson5910 (jim_thompson5910):
idk how you got that
OpenStudy (anonymous):
me neither
jimthompson5910 (jim_thompson5910):
do you see how I got 1/2 ?
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OpenStudy (anonymous):
yeah
OpenStudy (anonymous):
one side is \(6\) the other sides is \(6\sqrt3\)
that makes the hypotenuse \(2\times 6=12\) since the ratios of such a right triangle (30-60-90\) are \[1:\sqrt3:2\] meaning the hypotenuse is twice the short leg
OpenStudy (anonymous):
Sqrt.3/2 would be the right answer then?
OpenStudy (anonymous):
what are you trying to find, sine or cosine
OpenStudy (anonymous):
cos
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OpenStudy (anonymous):
the sine is \(\frac{\sqrt3}{2}\) as in "opposite over hypotenuse"
OpenStudy (anonymous):
the cosine is \(\frac{1}{2}\)
oh hold on, let me check which angle it is