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Mathematics 19 Online
OpenStudy (anonymous):

question in the comments

OpenStudy (anonymous):

OpenStudy (anonymous):

i am pretty sure using law of sines it is 54.9535....

OpenStudy (anonymous):

so if you round 55

OpenStudy (anonymous):

54/sinA = 76/sin64 degrees

OpenStudy (anonymous):

what do i do after that?

OpenStudy (anonymous):

@satellite73

OpenStudy (anonymous):

i did sinx/54 = sin76/64 then multiply both sides by 54 to get sinx = (54sin(76))/65 then inverse sine or sin^-1 of [ (54sin(76))/64 ]

OpenStudy (anonymous):

@jim_thompson5910 @iambatman

OpenStudy (anonymous):

please help!

OpenStudy (anonymous):

pleasssssseeeeeee

OpenStudy (anonymous):

would it be 40 degrees

OpenStudy (anonymous):

@tkhunny

OpenStudy (anonymous):

I crossed multiplied which gave me 54/sinA=85..... sinA=.6353 ...... 39degrees

OpenStudy (anonymous):

I'm not sure if I'm right.

OpenStudy (tkhunny):

What's the dilemma? You have the right ratio, \(\dfrac{54}{\sin(x)} = \dfrac{76}{\sin(64º)}\). Use your calculator and you'll be done in a moment. "Cross Multiply" doesn't mean anything. Never do that. SOLVING for \(\sin(x)\) gives \(\dfrac{54\cdot \sin(64º)}{76} = 0.63861682237\)

OpenStudy (anonymous):

That's pretty much exactly what I did and i got 39 degrees which technically is 40

OpenStudy (anonymous):

That will be the answer.

OpenStudy (anonymous):

\[\sin^{-1} (.6386)=39.69\]

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