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Mathematics 13 Online
OpenStudy (anonymous):

Find the value of r. http://static.k12.com/eli/bb/817/-1/0/2_36849_44974/-1/51f927fe3b001f19bf8216fe23752797ec6d0896/media/485f354db11cc8038dc07f7968448c7812687757/mediaasset_652710_1.png

OpenStudy (jdoe0001):

have you covered the Law of Cosines yet?

OpenStudy (anonymous):

Yes but i'm not very good at putting the formula together.

OpenStudy (jdoe0001):

so... well.. any ideas on what angle R is?

OpenStudy (anonymous):

Select one: a. 16.36 b. 29.59 c. 38.14 d. 28.67 Its multiple choice.

OpenStudy (anonymous):

I'd say either b or d

OpenStudy (jdoe0001):

hmm ok... what do you based that on?

OpenStudy (anonymous):

Ummmm 63+45=108 180-108=72 72 degrees makes R the largest angle and r is opposite of R so it couldn't be answer a soooo that would be why.

OpenStudy (anonymous):

@zepdrix

OpenStudy (anonymous):

Do you know how to solve this?

OpenStudy (jdoe0001):

ok.... so we know that R is 72 degrees... so actually we could just use the Law of sines.... will be simpler

OpenStudy (jdoe0001):

\(\bf \cfrac{sin(P)}{p}=\cfrac{sin(R)}{r}\implies r=\cfrac{p\cdot sin(R)}{sin(P)}\implies r=\cfrac{22\cdot sin(72^o)}{sin(45^o)}\)

OpenStudy (anonymous):

I got 29.6

OpenStudy (anonymous):

So b.

OpenStudy (jdoe0001):

29.5899345264 so yeap

OpenStudy (anonymous):

Thanks.

OpenStudy (jdoe0001):

yw

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