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Mathematics 19 Online
OpenStudy (anonymous):

Find the value of r.

OpenStudy (anonymous):

jimthompson5910 (jim_thompson5910):

what is angle R

OpenStudy (anonymous):

it doesn't tell you

jimthompson5910 (jim_thompson5910):

I know, but how would you find it out?

OpenStudy (anonymous):

subtracting ?

OpenStudy (anonymous):

the measures

jimthompson5910 (jim_thompson5910):

from what

OpenStudy (anonymous):

45 and 63

jimthompson5910 (jim_thompson5910):

ok subtract those from what

OpenStudy (anonymous):

from 180 and you get 72

jimthompson5910 (jim_thompson5910):

good, so R = 72

OpenStudy (anonymous):

yess

jimthompson5910 (jim_thompson5910):

from here, you use the law of sines sin(R)/r = sin(P)/p sin(72)/r = sin(45)/22 now solve for r

OpenStudy (anonymous):

do you cross multiply it?

jimthompson5910 (jim_thompson5910):

correct

jimthompson5910 (jim_thompson5910):

so, 22*sin(72) = r*sin(45) then divide both sides by sin(45), and flip the equation, to get r = (22*sin(72))/sin(45) r = ??

OpenStudy (anonymous):

29.58 !!! which is 29.59

jimthompson5910 (jim_thompson5910):

good

OpenStudy (anonymous):

thanks :)

jimthompson5910 (jim_thompson5910):

you're welcome

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