To estimate the value of the sine of 31 degrees using linear approximation, we can use the fact that for small angles, the sine of the angle is approximately equal to the angle itself in radians.
Converting 31 degrees to radians, we have:
31 degrees * (π/180) ≈ 0.541 radians
Therefore, the linear approximation of the sine of 31 degrees is approximately 0.541.