1.) Get the value of X.
Use sine law:
[tex] \frac{20}{sin(125)} = \frac{5}{sin(x) } [/tex]
[tex]sin(X ) = \frac{5sin(125)}{20} [/tex]
[tex]X = {sin}^{ - 1} ( \frac{5sin(125)}{20} )[/tex]
[tex]X = 11.82°[/tex]
2.) To get the value of x.
Use sine law.
[tex] \frac{x}{ \sin(95) } = \frac{5.5}{ \sin(25) } [/tex]
[tex]x = \frac{5.5 \sin(95) }{ \sin(25) } [/tex]
[tex]x = 12.96[/tex]
3.) To get the value of X.
Use sine law.
[tex] \frac{37}{ \sin(X) } = \frac{30}{ \sin(30) } [/tex]
[tex] \sin(X) = \frac{37 \sin(30) }{30} [/tex]
[tex]X = { \sin }^{ - 1} ( \frac{37 \sin(30) }{30} )[/tex]
[tex]X = 38.07°[/tex]
4.) Use sine law.
[tex] \frac{x}{ \sin(100) } = \frac{25}{ \sin(50) } [/tex]
[tex]x = \frac{25 \sin(100) }{ \sin(50) } [/tex]
[tex]x = 32.14[/tex]
