Mathematics
8 Online
OpenStudy (anonymous):
In triangle ABC, angle A is a right angle, and angle B= 45 degrees. what is the length of BC?
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OpenStudy (anonymous):
OpenStudy (anonymous):
Use trig, since you know that b is 45 degrees, use Sin
OpenStudy (anonymous):
Sin is Opposite over Hypotenuse
OpenStudy (anonymous):
how do I do that? sorry... I never understood that.
OpenStudy (anonymous):
\[Sin 45 = 13/x\]
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OpenStudy (anonymous):
that gave me .85
OpenStudy (anonymous):
Remember that the sin function has a denominator of 1, even though you don't see it, set it up and cross multiply
OpenStudy (anonymous):
13/sin45
OpenStudy (anonymous):
Solve for that
OpenStudy (anonymous):
ok
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OpenStudy (anonymous):
.28?
OpenStudy (anonymous):
13 divided by sin45, use your calculator. sin45 = .8509, so 13 divided by .8509 will give you your ans
OpenStudy (anonymous):
ohh! yeah, I was like what the heck are they talking about? yeah I'm familiar with this
OpenStudy (anonymous):
Alright, glad you got it! :P
OpenStudy (anonymous):
1.17 is what I got...
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OpenStudy (anonymous):
Um, not quite...
OpenStudy (anonymous):
go on google and type in calculator if you need it.
OpenStudy (anonymous):
13 divided by .8509?
OpenStudy (anonymous):
I'm using my phone.. I guess it's messed up
OpenStudy (anonymous):
You know it's not 1.17 because .85 goes into 13 way more then 1 time
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OpenStudy (anonymous):
yeah... haha
OpenStudy (anonymous):
15.29?
OpenStudy (anonymous):
Yes :), but if you want it to be precise, divide 13 by sin45, using ur calc. but yes, you are right =)
OpenStudy (anonymous):
it says to leave it in simplest radical form, how do I do that?
OpenStudy (anonymous):
@Schen421 ^
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OpenStudy (anonymous):
Well, I see that this is a 45 45 90 triangle
OpenStudy (anonymous):
That means 2 of the sides are the same and the hypotenuse is sqrt(2)
OpenStudy (anonymous):
so then it would be 13√2
OpenStudy (anonymous):
Actually, hold on, lemme recheck my work.
OpenStudy (anonymous):
Oh... oops my bad.
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OpenStudy (anonymous):
I had my calculator set to radians, make sure the calc is set on degrees, so do 13 divided by sin 45 and you should get 18.384
OpenStudy (anonymous):
and then yes, that is equal to 13sqrt(2)
OpenStudy (anonymous):
yeah that makes a lot more sense... haha! but thank you so much! you were so helpful!!
OpenStudy (anonymous):
My bad for that, thought I had set it to degrees already haha =P
OpenStudy (anonymous):
\[13\sqrt{2}\] shall be the ans =p (in radical form)
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OpenStudy (anonymous):
:-)