Chapter 13, Trigonometric Ratios and Functions - 13.4 Evaluate Inverse Trigonometric Functions - 13.4 Exercises - Quiz for Lessons 13.3-13.4 - Page 880: 13

$162.54^{\circ}$

Here, we have $\sin^{-1} (0.3)$ The angle $\theta$ is in the second quadrant. This means that $\theta=\sin^{-1} (0.3) \approx 17.46^{\circ}$ We know that the function sin is also positive in the second quadrant. Then we have $\theta=180^{\circ}-17.46^{\circ}=162.54^{\circ}$