Question

Use the Law of Sines to solve for the measure of angle C. A=150, a=6, c=4

Answer 1

would it be 4sin150=6sinC

Answer 2

yeap

Answer 3

i got 2=6sinC and don't know what to do

Answer 4

\(\bf \cfrac{sin(150^o)}{6}=\cfrac{sin(C)}{4}\implies \cfrac{4sin(150^o)}{6}=sin(C)\)

Answer 5

1/3?

Answer 6

yes,\(\bf \times sin(150^o)\)

Answer 7

1/6?

Answer 8

that makes no sense to me.. the other angles are whole numbers.. how is it possible C is only 1/6?

Answer 9

You have to take the inverse of sin to get the angle.

Answer 10

sorry the site is getting a bit laggy

Answer 11

as pointed out by coolsday , that's just the SINE function value, not the angle itself

Answer 12

so what do i do next?

Answer 13

\(\bf \cfrac{sin(150^o)}{6}=\cfrac{sin(C)}{4}\implies \cfrac{4sin(150^o)}{6}=sin(C)\implies \square =sin(C)\\ \quad \\
sin^{-1}(\square )= sin^{-1}[sin(C)]\implies sin^{-1}(\square )= \measuredangle C\)

Answer 14

i'm sorry... i'm still not understanding

Answer 15

hmmm are you using Internet Explorer by any chance?

Answer 16

no, google chrome

Answer 17

hmm ... so... .ahemm.... \(\bf \cfrac{sin(150^o)}{6}=\cfrac{sin(C)}{4}\implies \cfrac{4sin(150^o)}{6}=sin(C)\implies \square =sin(C)\\ \quad \\
{\color{red}{ sin^{-1}}}(\square )= {\color{red}{ sin^{-1}}}[sin(C)]\implies {\color{red}{ sin^{-1}}}(\square )= \measuredangle C\)

Answer 18

so i have to take the inverse of 1/6?

Answer 19

yes, the inverse of whatever the left-side yielded

Answer 20

well the sin inverse of 1/6

Answer 21

yes

Answer 22

i forgot my calculator at school and cant find an online calculator with inverse sin

Answer 23

www.desmos.com

Answer 24

still not seeing inverse sin

Answer 25

click on [Functions ] button

Answer 26

i did and all i see is sin cos tan csc sec cot.

Answer 27

hmm I guess it maybe in radians... .one sec -> https://www.google.com/search?client=opera&rls=en&q=asin(1/6+)+in+degrees&sourceid=opera&ie=utf-8&oe=utf-8&channel=suggest

Answer 28

so would that be the answer?

Answer 29

www.speedcrunch.org <--- in case you need a calculator

Answer 30

didnt mean to resend that

Answer 31

\(\bf {\color{red}{ sin^{-1}}}(\square )= \measuredangle C\implies 9.59^o\approx \measuredangle C\)

Answer 32

9.59 is angle c?

Answer 33

yeap

Answer 34

thank you so much!!

Answer 35

yw

Answer 36

I think you should recheck your calculations again. The sine function value is not 1/6.

Answer 37

i really don't know how do this problem at all

Answer 38

cross multiply



The way you are solving for the angle is correct, it is just that you made a mistake in your calculations in step 1