find the acute angle A to the nearest second when sin A = 0.92112?

Answer 1

if you use the PC calculator, you find
A= 67.090307degrees
to find the seconds you substract 67degrees and multiply the decimal part by 3600 (as there are 60*60=3600 seconds in onedegree)
if you do this, you find 325 seconds this corresponds to 5 minutes and 25 seconds

so = 67° 5' 25" (67 degrees, 5 minutes, 25 seconds)

Answer 2

inv sin (0.92112) . . . . . press exe
67.0903714 . . . . . . . this is the display in the calculator
67 deg 5' 25.34 " . . . . . press inv degree