Answer:
Because the sin function is positive in the first and second quadrants.
Step-by-step explanation:
We are told that sin(A) = 0.422
Thus;
A = sin^(-1) 0.422
A = 25°
Now,this is just for the first quadrant because this angle could very well be in another quadrant.
Usually in four quadrants of an x-y coordinate, the sin function is negative in the third and fourth quadrants because the x- values there are negative and sin is opposite/hypotenuse. That will lead to a negative value of Sin A since hypotenuse is always positive while the x-values in these quadrants are negative.
So, sin function is positive in the first and second quadrant.
In the first quadrant, it's 25°, however in the second quadrant where it is below the x-axis, the angle will now be: 180° - 25° = 155°