What is the measure of n to the nearest whole degree?

35°
45°
55°
65°

The figure shows that N is the vertex of a right triantle.

The opposite leg to N  measures 5.74, the adjacent leg to N measures 4 and the hypotenuse measures 7.

Then you can states these ratios:

sin(N) = opposite leg / hypotenuse = 5.74 / 7 => N = arcsin(5.74 / 7) = arcsin(0.82) = 55.08 °.

 cos(N) = adjacent leg / hypotenuse = 4 / 7 => N = arccos(4/7) = 55.15°

tan(N) = opposite leg / adjacent leg = 5.74 / 4 => N = arctan (5.74/4) = 55.13°.

Of course, you do  not need to do the three calculations. I did it just to show you.

the value of N to the nearest whole degree is 55°