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Mathematics 20 Online
OpenStudy (anonymous):

An acute angle θ is in a right triangle with sin θ =8/9 . What is the value of cot θ?

OpenStudy (anonymous):

help meeee!!!

jimthompson5910 (jim_thompson5910):

|dw:1361569145895:dw| first find x

jimthompson5910 (jim_thompson5910):

by solving x^2 + 8^2 = 9^2

OpenStudy (anonymous):

@jim_thompson5910 is it sqrt(17)/9 ??

jimthompson5910 (jim_thompson5910):

x^2 + 8^2 = 9^2 x^2 + 64 = 81 x^2 = 81 - 64 x^2 = 17 x = sqrt(17)

jimthompson5910 (jim_thompson5910):

so you were close

jimthompson5910 (jim_thompson5910):

|dw:1361569353332:dw|

jimthompson5910 (jim_thompson5910):

|dw:1361569376843:dw|

jimthompson5910 (jim_thompson5910):

cot(theta) = adjacent/opposite

OpenStudy (anonymous):

@jim_thompson5910 ahh so sqrt(17)/8??

jimthompson5910 (jim_thompson5910):

you got it

OpenStudy (anonymous):

thank you!!!!!!!!!!!!! <333

jimthompson5910 (jim_thompson5910):

you're welcome

jimthompson5910 (jim_thompson5910):

and how odd...when i drew the square root above, it looked good now the 17 is overlapping the square root symbol but that's ok i guess

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