This question requests to find the inverse function of sine function. The inverse function of sine function is called arc sine. This is, the arc length whose sine is the value searched. Then you need to find the arc sin (0.6123). the result may be in radians or degrees. Only in some particular cases you can tell the arc sine without a calculator or table, it is when the sine value is a notable number (e.g. 0, 1, -1, or some others) In this case you need to use a calculator or table. With a scientific calculator make sure the mode is in degrees and then enter the number 0.6123. With that numbered entered now press the key sin^-1, which is the key for the inverse of the sine function. I did it and got 37.76 degrees. Rounded to the nearest whole degree that is 38. Then, the answer is 38 degrees.