Find the value of x.

Answer:
x=34.8
Step-by-step explanation:
Use law of sines
[tex] \frac{32}{ \sin(x) } = \frac{56}{ \sin(90) } [/tex]
Flip the fractions btw sin 90=1.
[tex] \frac{ \sin(x) }{32} = \frac{1}{56} [/tex]
[tex] \sin(x) = \frac{1}{56} \times 32[/tex]
[tex] \sin(x) = \frac{32}{56} [/tex]
Find the sin inverse
[tex] \sin {}^{ - 1} ( \frac{32}{56} ) = 34.8[/tex]