Question

I have a 10th grade geometry question about the law of cosigns im trying to put up an image of it so please help me if you can :)

Answer 1

Note that for the law of sines you must have a ratio of side to opposite angle for two pairs; in this case, you have an angle surrounded by two sides. You would use the law of cosines in this case,
\[x^2=a^2+b^2+2abcos(X)\]
or
\[x^2=17^2+22^2+2*17*22*\cos42\]

Answer 2

\[x^2=1328.87\]
Or
x=36.45

Answer 3

Thank you so much :)

Answer 4

np