Complete the work to determine the value of a.
Use the law of sines: StartFraction sine (uppercase A) Over a EndFraction = StartFraction sine (uppercase B) Over b EndFraction.
Substitute: StartFraction sine (45 degrees) Over a EndFraction = StartFraction sine (77 degrees) Over 8 EndFraction.
Cross multiply: 8sin (45°) = asin (77°).
Solve for a and round to the nearest hundredth:
a ≈
.
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